https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:exp/x2ec2f6f830c9fb89:exp-properties/v/fractional-exponent-expressions-2 2021-06-30T17:32:40Z Rewriting mixed radical and exponential expressions Sal rewrites (r^(2/3)s^3)^2*√(20r^4s^5), once as an exponential expression and once as a radical expression. Sal Khan video https://cdn.kastatic.org/googleusercontent/TK9s1XhVAoc09UURPJZD6mrtgEYqrL8RFEllp0LGUj1kzxQoo-1Ms6aO-cPyuFkMrLTiGMBT6SghnZPdmHuYcgQz Rewriting mixed radical and exponential expressions Sal rewrites (r^(2/3)s^3)^2*√(20r^4s^5), once as an exponential expression and once as a radical expression. https://cdn.kastatic.org/ka-youtube-converted/4F6cFLnAAFc.mp4/4F6cFLnAAFc.mp4 451 Surds https://www.khanacademy.org/math/cambridge-o-level-mathematics-4024/x3f4c73d082a798eb:numbers/x3f4c73d082a798eb:surds/e/like-and-unlike-surds 2025-09-29T08:00:52.002079156Z Like and unlike surds In this exercise students learn the concepts related to like and unlike surds Devashish Phadnis exercise 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 Surds https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:rational-exponents-radicals/x2f8bb11595b61c86:simplifying-square-roots/e/simplifying_radicals 2021-07-08T21:56:40Z Simplify square roots For example, simplify √18 as 3√2. Tomer Gal exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:rational-exponents-radicals/x2f8bb11595b61c86:simplifying-square-roots/v/simplifying-square-roots-comment-response 2020-12-28T16:56:57Z Simplifying square roots (variables) A worked example of simplifying radical with a variable in it. In this example, we simplify 3√(500x³). Sal Khan video https://cdn.kastatic.org/googleusercontent/xzFobbllMdm-T2s4VTJVNYosoACGSTyCsv1pGSNLHicw_jAyKdbemWQdkczlxZAdqbZfS6o1HPqNcScPguX0RG4FGA Simplifying square roots (variables) A worked example of simplifying radical with a variable in it. In this example, we simplify 3√(500x³). https://cdn.kastatic.org/ka-youtube-converted/qFFhdLlX220.mp4/qFFhdLlX220.mp4 256 Surds https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:rational-exponents-radicals/x2f8bb11595b61c86:simplifying-square-roots/e/multiplying_radicals 2025-06-26T20:46:37.500606524Z Simplify square roots (variables) Simplify square roots that contain variables in them, like √(8x³) Tomer Gal exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:rational-exponents-radicals/x2f8bb11595b61c86:simplifying-square-roots/v/simplifying-square-root-expressions 2022-10-06T23:01:00.745424633Z Simplifying square-root expressions Worked examples of taking expressions with square roots and taking all of the perfect squares out of the square roots. For example, 2√(7x)⋅3√(14x²) can be written as 42x√(2x). video https://cdn.kastatic.org/ka_thumbnails_cache/65389dc8-7c65-4420-b13a-7cb11c9f7883_1280_720_base.png Simplifying square-root expressions Worked examples of taking expressions with square roots and taking all of the perfect squares out of the square roots. For example, 2√(7x)⋅3√(14x²) can be written as 42x√(2x). https://cdn.kastatic.org/ka-youtube-converted/3MijXB91DVo.mp4/3MijXB91DVo.mp4 510 Surds https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:rational-exponents-radicals/x2f8bb11595b61c86:simplifying-square-roots/e/adding_and_subtracting_radicals 2023-12-12T00:32:03.629852833Z Simplify square-root expressions Practice simplifying expressions with multiple radical terms. Tomer Gal exercise