Perfect Squares & Square Roots

​Perfect Squares & Square Roots

By Julie White

Perfect Squares

A perfect square is made when a number (the root) is multiplied by itself

Multiple Choice

What is $$3^2$$   ?

• 9

• 16

• 25

Multiple Choice

What is $$11^2$$   ?

• 100

• 121

• 169

Multiple Choice

What is $$15^2$$   ?

• 169

• 196

• 225

Multiple Choice

What is $$20^2$$   ?

• 324

• 361

• 400

Multiple Choice

What does this symbol represent?

• square root

• divide by 2

• cube root

• greater than or less than

Multiple Choice

What is $$\sqrt[]{196}$$   ?

• 14

• 13

• 12

Multiple Choice

What is $$\sqrt[]{324}$$   ?

• 18

• 20

• 16

Multiple Choice

What is $$\sqrt[]{169}$$   ?

• 11

• 12

• 13

Multiple Choice

What is $$\sqrt[]{256}$$   ?

• 14

• 15

• 16

Multiple Choice

What is $$\sqrt[]{361}$$   ?

• 15

• 17

• 19

Multiple Choice

What is $$\sqrt[]{121}$$  ?

• 60.5

• 11

• 12

• 121

Multiple Choice

A perfect square is the product of two ___ ___ multiplied by themselves. 

• decimals
• two digit numbers
• whole numbers 
• tens

Multiple Choice

1- Which number is a perfect square?

• a) 32

• b) 25

• c) 22

• D) 24

Multiple Choice

3- Which number is perfect square?

• a) 36

• b) 39

• c) 89

• d) 11

Multiple Choice

4- Which number is a perfect square?

• a) 100

• b) 110

• c) 120

• d) 59

Multiple Select

Which grids represent a perfect square?

Multiple Choice

Which statement is NOT true?

• √169 = 13

• 15² = 225

• 4² = 16

• √164 = 18

Multiple Choice

10²

• 100
• 20
• 200
• 10

Multiple Choice

If a square has a side length of 5 cm, what would the area be?

• 55 cm²
• 50 cm²
• 25 cm²
• 20 cm²

Multiple Choice

What would be the side length if you used 49 tiles to create a perfect square?

• 7 tiles
• 14 tiles
• 4 tiles wide and 9 tiles long
• 3.5 tiles

Multiple Choice

What is the square root of 9?

• 3

• 18

• 7

• 11

Multiple Choice

What is the square root of 144?

• 4
• 12
• 16
• 32

Multiple Choice

If you have 196 chairs and you need to arrange them in an equal amount of row and columns, how many chairs will be in each row?

• 12
• 13
• 14
• 15

Multiple Choice

Isaiah is creating a Spongebob poster and the side is 17 inches. What is the area of the Spongebob?

• 17

• 289

• 300

• 298

Multiple Choice

Jamal is making a new gaming system, and he wants the top to be 361 square millimeters. What is the length of one side?

• 17

• 18

• 19

• 16

Multiple Choice

A miniature portrait of George Washington is square and has an area of 169 square centimeters. How long is each side of the portrait?

• 16

• 13

• 14

• 15

Multiple Choice

Tate is planning to put a square garden with an area of 289 square feet in his back yard. What will be the length of each side of the garden?

• 17

• 16

• 15

• 13

Multiple Choice

Tate is planning to put a square garden with an area of 289 square feet in his back yard. He wants to put a fence around the garden. How much fencing will he need?

• 17 ft.

• 289 ft.

• 68 ft.

• 34 ft.

Multiple Choice

Rosy wants a large picture window put in the living room of her new house. The window is to be square with an area of 49 square feet. How long should each side of the window be?

• 6

• 4.9

• 7

• 5