# GRE Math : How to divide square roots

## Example Questions

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### Example Question #631 : Gre Quantitative Reasoning

Solve for :

Explanation:

To get rid of the radical, multiply top and bottom by .

Square both sides.

### Example Question #52 : Basic Squaring / Square Roots

Simplify:

Explanation:

is "opposite over adjacent," or . (This is because .)

Let's substitute  into the equation for  and multiply the numerator and the denominator by .

Now we can multiply the result by

is the inverse of , or :

We can reduce the resulting  to

By multiplying top and bottom by , we can cancel out the  in the numerator:

The resulting fraction can be simplified:

Simplify.