Simplifying square roots is often required when you encounter a complicated number underneath the symbol " ". However don’t let that scare you! When you are armed with some important properties of square roots, simplifying them is a breeze:

Consider the following example:

Example:

What is the value of ?

A)

B)

C)

D)

E)

Solution:

Step 1: Problems of this type rarely expect you to detemine a root of a larger number such as . In almost all cases, the expression can be simplified. In this case expressing the number inside the bracket as a multiple of can simplify the expression:

**A is the Correct Answer.**

However be careful! You cannot apply these properties when addition or subtraction is involved. For example the following expression is correct:

However the following is clearly incorrect:

Remember:

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