## 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: ### Example Question #11 : How To Divide Square Roots

Simplify.       Explanation:

To get rid of the radical, we need to multiply by the conjugate. The conjugate uses the opposite sign and multiplying by it will let us rationalize the denominator in this problem. The goal is getting an expression of in which we are taking the differences of two squares. 2 Next →

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