# How do you simplify #sqrt(48x^3) / sqrt(3xy^2)#?

##### 2 Answers

#### Explanation:

Let us first factorize each term in

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now cancelling

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Now pairing the factors to enable us to take square roots, we get

=

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#### Explanation:

When multiplying or dividing with roots it is possible to combine or separate the given roots.

In its present form, the calculation has no squares under either root. BUt we can also write this as one root:

Now the numerator and denominator are both perfect squares: