Perfect Squares and Square Roots

Vocabulary and key definitions covering perfect squares and positive square roots for 7th-grade mathematics.

Perfect Square

A whole number whose square root is an integer.

Radical Sign

A symbol used to represent a square root or non-negative square root.

Square Root

A number that, when multiplied by itself, produces the given number.

Relationship between Squaring and Square Roots

Squaring a number and taking a square root of a number are inverse (opposite) operations.

Perfect Square of 1

$$1^2 = 1$$

Perfect Square of 2

$$2^2 = 4$$

Perfect Square of 3

$$3^2 = 9$$

Perfect Square of 4

$$4^2 = 16$$

Perfect Square of 5

$$5^2 = 25$$

Perfect Square of 6

$$6^2 = 36$$

Perfect Square of 7

$$7^2 = 49$$

Perfect Square of 8

$$8^2 = 64$$

Perfect Square of 9

$$9^2 = 81$$

Perfect Square of 10

$$10^2 = 100$$

Perfect Square of 11

$$11^2 = 121$$

Perfect Square of 12

$$12^2 = 144$$

Perfect Square of 13

$$13^2 = 169$$

Perfect Square of 14

$$14^2 = 196$$

Perfect Square of 15

$$15^2 = 225$$

Perfect Square of 16

$$16^2 = 256$$

Perfect Square of 17

$$17^2 = 289$$

Perfect Square of 18

$$18^2 = 324$$

Perfect Square of 19

$$19^2 = 361$$

Perfect Square of 20

$$20^2 = 400$$

Square Root of 1

$$\sqrt{1} = 1$$

Square Root of 4

$$\sqrt{4} = 2$$

Square Root of 9

$$\sqrt{9} = 3$$

Square Root of 16

$$\sqrt{16} = 4$$

Square Root of 25

$$\sqrt{25} = 5$$

Square Root of 36

$$\sqrt{36} = 6$$

Square Root of 49

$$\sqrt{49} = 7$$

Square Root of 64

$$\sqrt{64} = 8$$

Square Root of 81

$$\sqrt{81} = 9$$

Square Root of 100

$$\sqrt{100} = 10$$

Square Root of 121

$$\sqrt{121} = 11$$

Square Root of 144

$$\sqrt{144} = 12$$

Square Root of 169

$$\sqrt{169} = 13$$

Square Root of 196

$$\sqrt{196} = 14$$

Square Root of 225

$$\sqrt{225} = 15$$

Square Root of 256

$$\sqrt{256} = 16$$

Square Root of 289

$$\sqrt{289} = 17$$

Square Root of 324

$$\sqrt{324} = 18$$

Square Root of 361

$$\sqrt{361} = 19$$

Square Root of 400

$$\sqrt{400} = 20$$

18²

324

14²

196

16²

256

13²

169

15²

225

20²

400

9²

81

10²

100

11

121

12²

144