When Square Roots & Absolute Value Match!

This is true for all real numbers!

Example:

(3²)^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.

Also, |-3| = 3

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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