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Algebra 1 > Exponents & radicals > Simplifying square roots (variables) Google Classroom. About Transcript. A worked example of simplifying radical with a variable in it. In this example, we simplify 3√ (500x³).Created by Sal Khan and Monterey Institute for Technology and Education. Questions Tips & Thanks. Want to join the conversation? Log in.
- Radicals
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- Radicals
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Learn how to rewrite square roots (and expressions containing them) so there's no perfect square within the square root. For example, rewrite √75 as 5⋅√3.
There is a difference between taking the square root of a number which is always positive (√100=10) and solving x^2=100 which gives both a positive and negative answer. The first is finding a value on the square root function, the second is finding the x intercepts of an equation.
Let's review exponent rules and level up what we know about roots. The square root is nice, but let's learn about higher-order roots like the cube root (or 3rd root).
