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 Square roots and cube roots 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 Square roots and cube roots 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 Square roots and cube roots https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:rational-exponents-radicals/x2f8bb11595b61c86:simplifying-square-roots/v/simplifying-square-roots-1 2021-06-15T15:59:48Z Simplifying square roots Roots are nice, but we prefer dealing with regular numbers as much as possible. So, for example, instead of √4 we prefer dealing with 2. What about roots that aren't equal to an integer, like √20? Still, we can write 20 as 4⋅5 and then use known properties to write √(4⋅5) as √4⋅√5, which is 2√5. We *simplified* √20. Sal Khan video https://cdn.kastatic.org/googleusercontent/d7Em5BQ44iFafCzEh5eoNNi5HfjNVbnqGN0LzgQHMyGlxqjmkSLhHFv7rncwilYMp1OR_pY32IhYdpCTluMOUfrodQ Simplifying square roots Roots are nice, but we prefer dealing with regular numbers as much as possible. So, for example, instead of √4 we prefer dealing with 2. What about roots that aren't equal to an integer, like √20? Still, we can write 20 as 4⋅5 and then use known properties to write √(4⋅5) as √4⋅√5, which is 2√5. We *simplified* √20. https://cdn.kastatic.org/ka-youtube-converted/cw3mp8oNASk.mp4/cw3mp8oNASk.mp4 189 Square roots and cube roots https://www.khanacademy.org/math/8-foundation/x3f439943635acb5c:arithmetic/x3f439943635acb5c:square-roots-using-long-division/v/square-root-by-division-method-visualised 2021-01-04T02:25:42Z Square roots by division method visualised Let's understand why the square root by division method (digit by digit method) works. video https://cdn.kastatic.org/googleusercontent/xNtuKdGh79BwtARCRS2wncZZKQZ3Cgd_WUYDNzCWFkO1muFoOXf6Y9EK8cit_lHG-ke5AILhvQ9mkve0_GVUCKo Square roots by division method visualised Let's understand why the square root by division method (digit by digit method) works. https://cdn.kastatic.org/ka-youtube-converted/P7kesuMnqhs.mp4/P7kesuMnqhs.mp4 748 Square roots and cube roots https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:rational-exponents-radicals/x2f8bb11595b61c86:radicals/v/finding-square-root-of-decimal 2021-06-21T15:29:09Z Square root of decimal Learn how to find the square root of a decimal number. The problem solved in this video is p^2 = 0.81. video https://cdn.kastatic.org/googleusercontent/HmiNyWrahSITVayWlbDNbmU5G5Nzutf4qJqAG635kqurLCGCV5xRMVyN4A1KySYyfm5lxtomUgrtb7sn6IeQNbDSrQ Square root of decimal Learn how to find the square root of a decimal number. The problem solved in this video is p^2 = 0.81. https://cdn.kastatic.org/ka-youtube-converted/tRHLEWSUjrQ.mp4/tRHLEWSUjrQ.mp4 184 Square roots and cube roots https://www.khanacademy.org/math/revision-term-1-ka-math-class-8/x36423c781f0794f3:week-3/x36423c781f0794f3:cube-and-cube-roots/v/units-place-digit-in-a-cube 2025-05-15T14:44:06.823245258Z Units place digit in a cube Ever wondered how to find the last digit of a cube without actually cubing big numbers? In this video, we uncover a cool math trick that shows you how the unit digit of a cube depends only on the unit digit of the original number—no matter how big the number is! What you’ll learn: 🔹 Cubes of all single-digit numbers 🔹 Why only the last digit matters in most cube calculations 🔹 3 patterns you can remember to find cube unit digits instantly 🔹 Solved examples to boost your confidence This is a must-watch for middle school and high school students learning number systems or preparing for exams like NTSE, Olympiads, or just brushing up on cool number patterns! Sarath Penumuru video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Units place digit in a cube Ever wondered how to find the last digit of a cube without actually cubing big numbers? In this video, we uncover a cool math trick that shows you how the unit digit of a cube depends only on the unit digit of the original number—no matter how big the number is! What you’ll learn: 🔹 Cubes of all single-digit numbers 🔹 Why only the last digit matters in most cube calculations 🔹 3 patterns you can remember to find cube unit digits instantly 🔹 Solved examples to boost your confidence This is a must-watch for middle school and high school students learning number systems or preparing for exams like NTSE, Olympiads, or just brushing up on cool number patterns! https://cdn.kastatic.org/ka-youtube-converted/uE0TNivGFSg.mp4/uE0TNivGFSg.mp4 463 Square roots and cube roots https://www.khanacademy.org/math/revision-term-1-ka-math-class-8/x36423c781f0794f3:week-3/x36423c781f0794f3:cube-and-cube-roots/v/smallest-multiple-that-is-a-perfect-cube 2025-05-15T14:44:06.823245258Z Smallest multiple that is a perfect cube In this video, we tackle an intriguing mathematical puzzle: finding the smallest multiple of a number that is also a perfect cube. We demonstrate how to use prime factorization to identify cube roots efficiently, then apply this technique to solve our main problem step by step. The video includes a clear mathematical solution and concludes with a bonus challenge to test students' understanding. This practical approach helps you develop important number theory skills while building their mathematical reasoning abilities. Sarath Penumuru video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Smallest multiple that is a perfect cube In this video, we tackle an intriguing mathematical puzzle: finding the smallest multiple of a number that is also a perfect cube. We demonstrate how to use prime factorization to identify cube roots efficiently, then apply this technique to solve our main problem step by step. The video includes a clear mathematical solution and concludes with a bonus challenge to test students' understanding. This practical approach helps you develop important number theory skills while building their mathematical reasoning abilities. https://cdn.kastatic.org/ka-youtube-converted/0JrEANqceto.mp4/0JrEANqceto.mp4 222 Square roots and cube roots https://www.khanacademy.org/math/7th-grade-matatag/x065dcf1640354e81:2nd-quarter/x065dcf1640354e81:square-roots-cube-roots-and-irrational-numbers/v/simplifying-radical-expressions1 2020-10-15T16:07:11Z Simplifying a cube root Simplifying Radical Expressions1 Sal Khan video https://cdn.kastatic.org/googleusercontent/1HzAu71Y6nRqmfHWx6wz1-RgCtcI1OLX11AC4Ljxn7OJrhgXrTXkzA610p_qSf207ugCsk3o0s_mWKxIwAnu-JnaGQ Simplifying a cube root Simplifying Radical Expressions1 https://cdn.kastatic.org/ka-youtube-converted/drhoIgAhlQM.mp4/drhoIgAhlQM.mp4 157 Square roots and cube roots 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 Square roots and cube roots https://www.khanacademy.org/math/revision-tg-math-class-8/x9ce0e841a99d4a8a:week-2/x9ce0e841a99d4a8a:square-roots-and-cube-roots/e/revision-square-roots-and-cube-roots-tg-class-8 2026-02-18T21:20:35.275198076Z Revision square roots and cube roots TG class 8 . Khan Academy exercise