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.

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.

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.

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.

If you are simplifying square roots, you do not have to use prime factors. If you can find the perfect squares without going all the way down to prime factors, that's ok.

Simplify square roots VA.Math: A.EO.4.a VA.Math.2023: A.EO.4.a Google Classroom You might need: Calculator

We've seen and explored linear functions, and now we're ready for quadratic functions. Let's investigate how we can use roots and radicals to solve them. **Unit guides are here!** Power up your classroom …

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