Squares & Square Roots

Squares are a simple form of exponents. The square of a number is the number multiplied by itself, for example:

4 × 4 = 16

It is also written as:

The square root of a number is the inverse of the square.

Thus, , because 4 × 4 =16

Also, note that , because (–4) × (–4) =16

We write ( means + and –)

For SAT, the College Board recommends that you know the squares of integers up to 12:

x	1	2	3	4	5	6	7	8	9	10	11	12
x²	1	4	9	16	25	36	49	64	81	100	121	144

And also the square roots:

x	1	4	9	16	25	36	49	64	81	100	121	144
	1	2	3	4	5	6	7	8	9	10	11	12