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 Some more interesting patterns 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