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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

 

The following video shows how to simplify the square root of a perfect square and the square root of a number that is not a perfect square.

 

 

 

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Useful Links:
Exponents - Math.com
 

 

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