Simplifying radicals

Square and cubed roots

Intro

Radicals are the "opposite" operation of applying exponents; you can "undo" a power with a radical, and a radical can "undo" a power. For example, if you square 2, you get 4, and if you take the square root of 4, you get 2; if you square 3, you get 9, and if you take the square root of 9, you get 3:

Breaking it down

Ok that check mark is called a radical. which means if theres a number there, you need to find what divides that evenly into two numbers that are equal. So like the square root of 36 is 6. Because 6 by 6 equals 36.

Cubed?

Cubed just means that instead of multiplying A x A, youre going to do A x A x A. Three A's and the cubed root for 64 is:

4

Because 4 x 4 x 4 = 64.

The three is there like a 2 would be there for squared root. And if the is no number there then we always assume that we are squaring. But the three is there so were cubing.

Wrap up

You need to know the difference between Square and cube rooting. Squaring uses two equal numbers to get there solution. But Cubing uses three equal numbers to get the solution.
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Author

Miguel Guzman
How to Simplify a Radical aka Square Roots

Video

How to Simplify a Radical aka Square Roots by Tyler Tarver