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).

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 as I do with …

Wouldn't the answer to a square root really be positive and negative? For instance, if we wanted the square root of 9, it would be 3 and -3? because 3x3=9 and -3x-3=9?

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Let's review exponent rules and level up what we know about roots. The square root is nice, but let's learn about higher-order roots like the cube root (or 3rd root).

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

What are some common ways to simplify square roots? One common way to simplify square roots is to factor the radicand (the number inside the square root symbol) into perfect squares.

Simplify square roots (variables) Simplifying square-root expressions Simplify square-root expressions Simplifying square roots review Exponents & radicals: FAQ

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.