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/class-9-tg/x06d55bfa213a79fd:real-numbers/x06d55bfa213a79fd:operations-on-real-numbers/v/worked-example-rational-vs-irrational-expressions-india 2025-03-28T07:05:36.573142233Z Worked example: rational vs. irrational expressions Worked example: rational vs. irrational expressions (Indian Accent) Aakash Bagga video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Worked example: rational vs. irrational expressions Worked example: rational vs. irrational expressions (Indian Accent) https://cdn.kastatic.org/ka-youtube-converted/fMhzYAlrH2c.mp4/fMhzYAlrH2c.mp4 156 Operations on Real Numbers https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:irrational-numbers/x2f8bb11595b61c86:sums-and-products-of-rational-and-irrational-numbers/e/recognizing-rational-and-irrational-expressions 2025-03-09T12:38:48.303569754Z Rational vs. irrational expressions Determine whether an expression that is the combination of two rational/irrational numbers is rational or irrational itself. Sid Patel exercise 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/algebra-home/alg-exp-and-log/miscellaneous-radicals/v/how-to-rationalize-a-denominator 2020-06-23T07:22:43Z 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 Sal Khan video https://cdn.kastatic.org/googleusercontent/JXfSR01H3KvsGGAU_AzzpKr_Q4eXYS2kFNlfGoDPHZuldyFfyGJ5popeCmrRgayoYvTTGqvO0jIXadM5mbczaCOr 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 https://cdn.kastatic.org/ka-youtube-converted/gY5TvlHg4Vk.mp4/gY5TvlHg4Vk.mp4 618 Operations on Real Numbers