https://www.khanacademy.org/math/revision-term-1-ncert-math-class-8-new/x5cae60c7d482f499:week-1/x5cae60c7d482f499:a-square-and-a-cube/v/introduction-to-squares-and-perfect-square-numbers 2025-07-23T04:44:00.101982587Z Introduction to squares and perfect square numbers Confused about what a perfect square really is? This video clears it up by first explaining the exact definition, then comparing squares with perfect squares to highlight the difference. You'll see plenty of examples, learn important properties, and even understand how to tell perfect squares apart from non-perfect ones — all in a clear, step-by-step way that's easy to follow Khan Academy video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Introduction to squares and perfect square numbers Confused about what a perfect square really is? This video clears it up by first explaining the exact definition, then comparing squares with perfect squares to highlight the difference. You'll see plenty of examples, learn important properties, and even understand how to tell perfect squares apart from non-perfect ones — all in a clear, step-by-step way that's easy to follow https://cdn.kastatic.org/ka-youtube-converted/1P2EmXG96cY.mp4/1P2EmXG96cY.mp4 475 A Square and A Cube https://www.khanacademy.org/math/revision-term-1-ncert-math-class-8-new/x5cae60c7d482f499:week-1/x5cae60c7d482f499:a-square-and-a-cube/e/find-square-of-integers 2025-08-14T09:23:45.494017813Z Find square of integers Practice problems to find square of integers. Satya Swaroop exercise https://www.khanacademy.org/math/revision-term-1-ka-math-class-8/x36423c781f0794f3:week-2/x36423c781f0794f3:squares-and-square-roots/v/properties-of-square-numbers 2024-05-22T12:23:15.65535171Z Properties of Square numbers Learn about the properties of square numbers using fun way! Devashish Phadnis video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Properties of Square numbers Learn about the properties of square numbers using fun way! https://cdn.kastatic.org/ka-youtube-converted/HuxKe-fFddA.mp4/HuxKe-fFddA.mp4 424 A Square and A Cube https://www.khanacademy.org/math/od-math-class-8-new-book/x648dc020d7206462:a-square-and-a-cube/x648dc020d7206462:square-numbers/e/more-properties-of-square-numbers 2026-01-14T04:19:20.590610231Z More properties of square numbers In this exercise students learn about the skills as follows: 1. What do you notice about the number of zeros at the end of a number and the number of zeros at the end of its square? Will this always happen? Can we say that squares can only have an even number of zeros at the end? 2. There are 2n non perfect square numbers between the square of the numbers n and n+1" 3. We see that the sum of the first n odd numbers is n^2. Alternatively, every square is a sum of successive odd numbers starting from 1. 4. Also, we can find out whether a number is a perfect square by successively subtracting odd numbers. Khan Academy exercise https://www.khanacademy.org/math/revision-term-1-ka-math-class-8/x36423c781f0794f3:week-2/x36423c781f0794f3:squares-and-square-roots/e/find-unit-s-place-digit-of-the-square 2025-02-10T11:15:42.866710478Z Find unit's place digit of the square This exercise is curated for new ncert and the problems are taken from 5.1 since here we need do-4 Devashish Phadnis exercise https://www.khanacademy.org/math/revision-term-1-ka-math-class-8/x36423c781f0794f3:week-2/x36423c781f0794f3:squares-and-square-roots/v/patterns-involving-square-numbers 2025-04-15T10:15:04.899062092Z Patterns involving square numbers Dive into a fascinating journey where simple block arrangements reveal amazing number patterns! In this video, we start by showcasing two arrangements that form triangular numbers—one arrangement gives us 3, and the other 6. Then, we present a square arrangement (9) and demonstrate how combining these triangular patterns leads to a perfect square. Watch as we: • Visualize triangular numbers (1, 3, 6, 10) and explain how each number is the sum of consecutive natural numbers. • Show the step-by-step process of how triangular numbers add up to form square numbers, from 1 and 1+3 = 4 to larger squares like 16 and even 81. Created by Sarath Penumuru Devashish Phadnis video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Patterns involving square numbers Dive into a fascinating journey where simple block arrangements reveal amazing number patterns! In this video, we start by showcasing two arrangements that form triangular numbers—one arrangement gives us 3, and the other 6. Then, we present a square arrangement (9) and demonstrate how combining these triangular patterns leads to a perfect square. Watch as we: • Visualize triangular numbers (1, 3, 6, 10) and explain how each number is the sum of consecutive natural numbers. • Show the step-by-step process of how triangular numbers add up to form square numbers, from 1 and 1+3 = 4 to larger squares like 16 and even 81. Created by Sarath Penumuru https://cdn.kastatic.org/ka-youtube-converted/zEAiVLqZ8eg.mp4/zEAiVLqZ8eg.mp4 337 A Square and A Cube https://www.khanacademy.org/math/class-6-ncf/x04ca845a9a148c80:patterns-in-mathematics-india/x04ca845a9a148c80:visualising-number-sequences-india/v/why-36-is-a-triangular-square-number 2025-06-08T17:08:59.076161332Z Why 36 is a triangular square number In this fun math exploration, we dive into the fascinating world of triangular and square numbers. Using square blocks, we demonstrate how triangular arrangements can sometimes be rearranged into perfect squares. Through visual examples, we discover that 36 is both a triangular number and a square number! This hands-on approach makes abstract mathematical concepts concrete and easy to understand for you. Sarath Penumuru video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Why 36 is a triangular square number In this fun math exploration, we dive into the fascinating world of triangular and square numbers. Using square blocks, we demonstrate how triangular arrangements can sometimes be rearranged into perfect squares. Through visual examples, we discover that 36 is both a triangular number and a square number! This hands-on approach makes abstract mathematical concepts concrete and easy to understand for you. https://cdn.kastatic.org/ka-youtube-converted/ucjPtCWMYVk.mp4/ucjPtCWMYVk.mp4 377 A Square and A Cube https://www.khanacademy.org/math/class-6-ncf/x04ca845a9a148c80:patterns-in-mathematics-india/x04ca845a9a148c80:visualising-number-sequences-india/e/adding-triangular-numbers 2025-02-10T11:15:42.866710478Z Adding triangular numbers This exercise is about adding triangular numbers Devashish Phadnis exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:rational-exponents-radicals/x2f8bb11595b61c86:radicals/v/introduction-to-square-roots 2021-06-21T15:29:06Z Intro to square roots Learn about the square root symbol (the principal root) and what it means to find a square root. Also learn how to solve simple square root equations. video https://cdn.kastatic.org/googleusercontent/9zEFqvfBXSC8o2N7kHZL7cdgacCFBCPUVG9i-IPqWPENAv2MOUqUB7r4mlnfeOWvqAR_8OKE6_EZGCcoGePk9aC4 Intro to square roots Learn about the square root symbol (the principal root) and what it means to find a square root. Also learn how to solve simple square root equations. https://cdn.kastatic.org/ka-youtube-converted/mbc3_e5lWw0.mp4/mbc3_e5lWw0.mp4 324 A Square and A Cube https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:rational-exponents-radicals/x2f8bb11595b61c86:radicals/v/understanding-square-roots 2021-02-07T17:14:00Z Understanding square roots Learn how square root means what number multiplied by itself will result in the given number. Sal Khan video https://cdn.kastatic.org/googleusercontent/D_N0eBXbzJQwt5idHen9LQH5kogzYdTBihXN_04nWQ7JrEOU40HrHhac4TDFp_MhoVRDCYmpIPxhWHeKHHCrRKo Understanding square roots Learn how square root means what number multiplied by itself will result in the given number. https://cdn.kastatic.org/ka-youtube-converted/ROIfbUQrSY4.mp4/ROIfbUQrSY4.mp4 81 A Square and A Cube https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:rational-exponents-radicals/x2f8bb11595b61c86:radicals/e/square_roots 2025-02-10T11:15:42.866710478Z Square roots Practice finding the square root of a perfect square positive integer. Jeff Ruberg exercise https://www.khanacademy.org/math/od-math-class-8-new-book/x648dc020d7206462:a-square-and-a-cube/x648dc020d7206462:square-numbers/e/approximating-square-root 2026-03-22T06:53:37.482695608Z Approximating square root In this exercise students solve problems to learn about prime factorisation method of finding square root and skill of approximating square root Khan Academy exercise https://www.khanacademy.org/math/revision-term-1-ka-math-class-8/x36423c781f0794f3:week-2/x36423c781f0794f3:squares-and-square-roots/e/square-roots-using-prime-factorisation--advanced- 2025-02-10T11:15:42.866710478Z Square roots using prime factorisation (advanced) Square roots using prime factorisation (advanced) ashish exercise https://www.khanacademy.org/math/revision-term-1-ncert-math-class-8-new/x5cae60c7d482f499:week-1/x5cae60c7d482f499:a-square-and-a-cube/v/introduction-to-cubes-and-perfect-cubes 2025-07-15T05:37:43.666736684Z Introduction to cubes and perfect cubes Ever wondered why we call it a “cube”? In this video, we dive into the world of cube numbers, beginning with the geometric origin of the term—imagine a 3D cube with equal sides. If each side is n units long, the total number of unit cubes it contains is n× n × n. That’s where cube numbers come from! We explore what makes a number a perfect cube—like 8, 27, or 64—because they result from cubing a whole number. Then we contrast them with non-perfect cubes, numbers like 9 or 50 that don’t have a neat cube root. Along the way, we use visual models and real-world examples to make each idea stick. Khan Academy video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Introduction to cubes and perfect cubes Ever wondered why we call it a “cube”? In this video, we dive into the world of cube numbers, beginning with the geometric origin of the term—imagine a 3D cube with equal sides. If each side is n units long, the total number of unit cubes it contains is n× n × n. That’s where cube numbers come from! We explore what makes a number a perfect cube—like 8, 27, or 64—because they result from cubing a whole number. Then we contrast them with non-perfect cubes, numbers like 9 or 50 that don’t have a neat cube root. Along the way, we use visual models and real-world examples to make each idea stick. https://cdn.kastatic.org/ka-youtube-converted/uewgOBpil9Y.mp4/uewgOBpil9Y.mp4 283 A Square and A Cube https://www.khanacademy.org/math/uk-math-class-8/x40384ea0c3a0cfc9:cube-and-cube-roots-ncert-new/x40384ea0c3a0cfc9:cubes/v/adding-consecutive-odd-numbers 2025-05-15T14:44:06.823245258Z Adding consecutive odd numbers In this video, we explore the fascinating mathematical pattern between adding consecutive odd numbers and finding perfect cubes. Through visual representations, we demonstrate how this sequence works and develop methods to find the first number in any such sequence. Students will learn how to apply this pattern to easily calculate cube numbers and solve related problems. This approach transforms abstract number theory into concrete, practical skills that you can apply to various mathematical challenges. Sarath Penumuru video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Adding consecutive odd numbers In this video, we explore the fascinating mathematical pattern between adding consecutive odd numbers and finding perfect cubes. Through visual representations, we demonstrate how this sequence works and develop methods to find the first number in any such sequence. Students will learn how to apply this pattern to easily calculate cube numbers and solve related problems. This approach transforms abstract number theory into concrete, practical skills that you can apply to various mathematical challenges. https://cdn.kastatic.org/ka-youtube-converted/-KVfOs9H5G0.mp4/-KVfOs9H5G0.mp4 289 A Square and A Cube https://www.khanacademy.org/math/revision-term-1-ka-math-class-8/x36423c781f0794f3:week-3/x36423c781f0794f3:cube-and-cube-roots/e/cube-roots-3-a 2025-02-10T11:15:42.866710478Z Finding cube of numbers, identifying perfect cubes Cube roots ashish exercise https://www.khanacademy.org/math/revision-term-1-ka-math-class-8/x36423c781f0794f3:week-3/x36423c781f0794f3:cube-and-cube-roots/v/intro-to-cube-roots-indian-accent 2025-06-09T09:58:43.937294419Z Intro to cube roots Learn the meaning of cube roots and how to find them. Also learn how to find the cube root of a negative number. Courses on Khan Academy are always 100% free. Start practising—and saving your progress—now! (add course link here) Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by Kalakrit (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Intro to cube roots Learn the meaning of cube roots and how to find them. Also learn how to find the cube root of a negative number. Courses on Khan Academy are always 100% free. Start practising—and saving your progress—now! (add course link here) Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by https://cdn.kastatic.org/ka-youtube-converted/vQhiF0o4ZAM.mp4/vQhiF0o4ZAM.mp4 417 A Square and A Cube https://www.khanacademy.org/math/revision-term-1-ka-math-class-8/x36423c781f0794f3:week-3/x36423c781f0794f3:cube-and-cube-roots/v/cube-root-by-prime-factorisation 2025-05-15T14:44:06.823245258Z Cube root by prime factorisation Confused about cube roots? In this video, we simplify the concept using the prime factorisation method—a powerful tool from your Class 8 NCERT Math syllabus. We start by helping you understand how squares, square roots, cubes, and cube roots are related to prime factors. Then, through clear examples, we show you how to break numbers down and find their cube roots step by step. Why watch this? • Learn the logic behind cube roots (not just tricks) • Solve cube roots of big numbers quickly and accurately • Build a solid foundation for higher-level math Whether you’re preparing for exams or just want to make cube roots less scary, this is the video for you. Sarath Penumuru video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Cube root by prime factorisation Confused about cube roots? In this video, we simplify the concept using the prime factorisation method—a powerful tool from your Class 8 NCERT Math syllabus. We start by helping you understand how squares, square roots, cubes, and cube roots are related to prime factors. Then, through clear examples, we show you how to break numbers down and find their cube roots step by step. Why watch this? • Learn the logic behind cube roots (not just tricks) • Solve cube roots of big numbers quickly and accurately • Build a solid foundation for higher-level math Whether you’re preparing for exams or just want to make cube roots less scary, this is the video for you. https://cdn.kastatic.org/ka-youtube-converted/omqXGFjpJT0.mp4/omqXGFjpJT0.mp4 393 A Square and A Cube https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:rational-exponents-radicals/x2f8bb11595b61c86:radicals/e/cube_roots 2025-06-26T20:46:37.500606524Z Cube roots Practice finding the cube root of a perfect cube positive integer. Jeff Ruberg exercise