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:
". 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:
. 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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