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 you do …

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.

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).

A worked example of simplifying elaborate expressions that contain radicals with two variables. In this example, we simplify √ (60x²y)/√ (48x). Created by Sal Khan and Monterey Institute for Technology …

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.

When square roots have the same value inside the radical, we can combine like terms. First we simplify the radical expressions by removing all factors that are perfect squares from inside the radicals.

For example, simplify √18 as 3√2.

When you square root [things], you are trying to find which thing multiplied by itself is equal to [things]. In case the [things] are 9 for example, square root will be 3, (√9 = 3 ) because multiplying 3 by itself …

The former has 3 steps involved (multiply 5 and 3, find square root of 13, multiply 15 by square root of 13), while the latter only has 2 steps involved (find square root of 13 and multiply by 15).