Square and Cube Root Laws

Mathematics — Second Preparatory

The square root

The square root of a number a is the number which, when squared, gives a.
For example, the square root of 49 is 7, because 72 = 49.
The principal square root is always positive or zero.
For the square of any number we use the rule √(a²) = |a|, meaning the square root of a squared number is the absolute value of that number.
For example, √((−5)²) = √25 = 5 = |−5|.

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