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.

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.

So let's say I have square root of two a times the square root of 14 a to the third times the square root of five a. So like always, pause this video and see if you can simplify this on your own.

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 …

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.

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.

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

Simplify square roots VA.Math: A.EO.4.a VA.Math.2023: A.EO.4.a Google Classroom Microsoft Teams

We can simplify the √ (1/200) by finding perfect squares that are factors of 200. We could either look directly for the largest perfect square factor or break 200 into smaller factors and find repeated factors.