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Simplify. Remove all perfect squares from inside the square root. Assume b is positive.

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.

It's the product of a perfect square and 13. 26 isn't, so we've simplified this about as much as we can. We would just leave this as 3 times the square root of 26.

In this unit, we review exponent rules and learn about higher-order roots like the cube root (or 3rd root). We'll learn how to calculate these roots and simplify algebraic expressions with radicals.

Simplify. Multiply and remove all perfect squares from inside the square roots. Assume a is positive.

A worked example of simplifying elaborate expressions that contain radicals. In this example, we simplify 5∛ (2x²)⋅3∛ (4x⁴).

Simplify. Remove all perfect squares from inside the square root.

Any variable that can be squared so for instance x^2 or y^4 is taken out of the square root symbol. You then divide the exponent by 2 (so x^2 would be x^1 or just x and y^4 would be y^2). Once …

When I look at Simplifying Square Roots, it reminds me a lot of Prime factorization. In fact, I have been following along with these videos on Simplifying Square Roots, using the same method …