https://www.khanacademy.org/math/class-9-tg/x06d55bfa213a79fd:real-numbers/x06d55bfa213a79fd:operations-on-real-numbers/v/sums-and-products-of-irrational-numbers-india 2025-03-28T07:05:36.573142233Z Sums and products of irrational numbers Sums and products of irrational numbers (Indian Accent) Aakash Bagga video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Sums and products of irrational numbers Sums and products of irrational numbers (Indian Accent) https://cdn.kastatic.org/ka-youtube-converted/mMX6fWz0nvk.mp4/mMX6fWz0nvk.mp4 357 Operations on real numbers https://www.khanacademy.org/math/algebra-2-fl-best/x727ff003d4fc3b92:radical-functions-equations/x727ff003d4fc3b92:operations-with-irrational-numbers/e/adding-and-subtracting-irrational-numbers 2026-01-13T12:52:09.519257972Z Adding and subtracting irrational numbers Adding and subtracting irrational numbers anmol exercise https://www.khanacademy.org/math/class-9-tg/x06d55bfa213a79fd:real-numbers/x06d55bfa213a79fd:operations-on-real-numbers/e/multiplication-and-division-of-surds 2026-03-22T07:01:13.611534865Z Multiplication and division of surds In this exercise students study the rules and examples of multiplication and division of surds, which are irrational numbers Khan Academy exercise https://www.khanacademy.org/math/class-9-tg/x06d55bfa213a79fd:real-numbers/x06d55bfa213a79fd:operations-on-real-numbers/v/intro-to-rationalizing-the-denominator-indian-accent 2025-06-09T18:22:32.943194216Z Intro to rationalizing the denominator When we have a fraction with a root in the denominator, like 1/√2, it's often desirable to manipulate it so the denominator doesn't have roots. To do that, we can multiply both the numerator and the denominator by the same root, that will get rid of the root in the denominator. For example, we can multiply 1/√2 by √2/√2 to get √2/2 Courses on Khan Academy are always 100% free. Start practicing—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 Skyloom (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Intro to rationalizing the denominator When we have a fraction with a root in the denominator, like 1/√2, it's often desirable to manipulate it so the denominator doesn't have roots. To do that, we can multiply both the numerator and the denominator by the same root, that will get rid of the root in the denominator. For example, we can multiply 1/√2 by √2/√2 to get √2/2 Courses on Khan Academy are always 100% free. Start practicing—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/JZ9SW8E9jqo.mp4/JZ9SW8E9jqo.mp4 489 Operations on real numbers