# When Square Roots & Absolute Value Match!

## This is true for all real numbers!

__Example:__

(3^{2})^½ = 9^½ = 3

and

((-3)^{2})^½ = 9^½ = 3

The **caret** (^) is the symbol of exponentiation. Raising a number to the power of ½ gives you the square root.

### You know that absolute value is always positive, right? Absolute value is also always a real number since imaginary numbers have real absolute values.

Squaring a negative number gives you a positive number, but I used another pair of parentheses around the *negative* three since graphing calculators tend to multiply the square by **-1** without the parentheses. That causes some confusion!

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© Derek Cumberbatch