https://www.khanacademy.org/math/od-math-class-8-revision-term-1-2026/x181d712c63c19d29:week-1/x181d712c63c19d29: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/od-math-class-8-revision-term-1-2026/x181d712c63c19d29:week-1/x181d712c63c19d29:a-square-and-a-cube/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/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/od-math-class-8-revision-term-1-2026/x181d712c63c19d29:week-1/x181d712c63c19d29:a-square-and-a-cube/e/a-square-and-a-cube-revision-exercise-1 2026-08-05T10:30:54.361523845Z A Square and A Cube - Revision Exercise 1 A Square and A Cube - Revision Exercise 1 Khan Academy 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/od-math-class-8-revision-term-1-2026/x181d712c63c19d29:week-1/x181d712c63c19d29:a-square-and-a-cube/v/understanding-square-roots-indian-accent 2025-06-06T15:33:38.563209632Z Understanding square roots Learn how square root means what number multiplied by itself will result in the given number. Kalakrit (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw 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/DLmBhanInA0.mp4/DLmBhanInA0.mp4 81 A Square and A Cube https://www.khanacademy.org/math/od-math-class-8-revision-term-1-2026/x181d712c63c19d29:week-1/x181d712c63c19d29:a-square-and-a-cube/v/finding-square-roots 2026-01-16T10:30:37.091019215Z Finding Square Roots Unlock the mystery of square roots in this engaging math video! We begin by exploring how to find square roots using prime factorization — a clear, step-by-step method perfect for perfect squares. Then we move on to estimating square roots of perfect squares and non-perfect squares, using number sense and logical reasoning to get close approximations. With plenty of examples and visual explanations, this video helps learners understand both exact and estimated roots with confidence. Khan Academy video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Finding Square Roots Unlock the mystery of square roots in this engaging math video! We begin by exploring how to find square roots using prime factorization — a clear, step-by-step method perfect for perfect squares. Then we move on to estimating square roots of perfect squares and non-perfect squares, using number sense and logical reasoning to get close approximations. With plenty of examples and visual explanations, this video helps learners understand both exact and estimated roots with confidence. https://cdn.kastatic.org/ka-youtube-converted/5cDK_XFeS9U.mp4/5cDK_XFeS9U.mp4 586 A Square and A Cube https://www.khanacademy.org/math/od-math-class-8-revision-term-1-2026/x181d712c63c19d29:week-1/x181d712c63c19d29:a-square-and-a-cube/e/a-square-and-a-cube-revision-exercise-2 2026-08-05T10:30:54.361523845Z A Square and A Cube - Revision Exercise 2 A Square and A Cube - Revision Exercise 2 Khan Academy exercise https://www.khanacademy.org/math/od-math-class-8-revision-term-1-2026/x181d712c63c19d29:week-1/x181d712c63c19d29: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/od-math-class-8-revision-term-1-2026/x181d712c63c19d29:week-1/x181d712c63c19d29:a-square-and-a-cube/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/od-math-class-8-revision-term-1-2026/x181d712c63c19d29:week-1/x181d712c63c19d29:a-square-and-a-cube/v/hardyramanujan-number 2026-01-16T10:30:37.091019215Z Hardy–Ramanujan Number Discover the fascinating story behind the Hardy–Ramanujan number — 1729 — the smallest number expressible as the sum of two cubes in two distinct ways. In this short video, we explore why 1729 is called the first "taxicab number" and dive into other intriguing numbers in the taxicab sequence. Khan Academy video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Hardy–Ramanujan Number Discover the fascinating story behind the Hardy–Ramanujan number — 1729 — the smallest number expressible as the sum of two cubes in two distinct ways. In this short video, we explore why 1729 is called the first "taxicab number" and dive into other intriguing numbers in the taxicab sequence. https://cdn.kastatic.org/ka-youtube-converted/MjeK0jnQgGs.mp4/MjeK0jnQgGs.mp4 177 A Square and A Cube https://www.khanacademy.org/math/od-math-class-8-revision-term-1-2026/x181d712c63c19d29:week-1/x181d712c63c19d29:a-square-and-a-cube/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/od-math-class-8-revision-term-1-2026/x181d712c63c19d29:week-1/x181d712c63c19d29:a-square-and-a-cube/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/od-math-class-8-revision-term-1-2026/x181d712c63c19d29:week-1/x181d712c63c19d29:a-square-and-a-cube/e/a-square-and-a-cube-revision-exercise-3 2026-08-05T10:30:54.361523845Z A Square and A Cube - Revision Exercise 3 A Square and A Cube - Revision Exercise 3 Khan Academy exercise