Square Roots

Question 1

What is the square root of 81?

Answer 1

9

Question 2

What is the square root of 121?

Answer 2

11

Question 3

What is the square root of 196?

Answer 3

14

Question 4

What is the square root of 400?

Answer 4

20

Question 5

What is the symbol for square root called?

Answer 5

Radical (√)

Question 6

What does √64 mean?

Answer 6

The number which, when multiplied by itself, equals 64

Question 7

Estimate √50 to the nearest whole number.

Answer 7

7 (because 7²=49, 8²=64)

Question 8

Estimate √300 to the nearest whole number.

Answer 8

17 (because 17²=289, 18²=324)

Question 9

True or False: √20 is a whole number.

Answer 9

False

Question 10

True or False: √144 is a whole number.

Answer 10

True (12)

Question 11

Which two perfect squares is √90 between?

Answer 11

81 and 100

Question 12

Which two perfect squares is √130 between?

Answer 12

121 and 144

Question 13

Which two perfect squares is √250 between?

Answer 13

225 and 256

Question 14

Estimate √250 to one decimal place.

Answer 14

15.8 (between 15 and 16)

Question 15

Which is closer to √82: 9 or 10?

Answer 15

9 (since 9²=81, 10²=100)

Question 16

A square has an area of 49 cm². What is the length of one side?

Answer 16

7 cm

Question 17

A square has an area of 200 cm². Estimate the side length.

Answer 17

≈14.1 cm (because √196=14, √225=15)

Question 18

The area of a field is 500 m². Estimate the side length if it is a square.

Answer 18

≈22 m (because 22²=484, 23²=529)

Question 19

A square patio has a side length of 12 m. What is its area?

Answer 19

144 m²

Question 20

The diagonal of a square is 10 m. Estimate the side length.

Answer 20

≈7.1 m (side = diagonal ÷ √2)

Question 21

Find a number whose square is 121.

Answer 21

11

Question 22

Find a number whose square is 15.

Answer 22

No whole number (approx. 3.87)

Question 23

Estimate √7 without a calculator.

Answer 23

≈2.6 (between 2²=4 and 3²=9, closer to 3)

Question 24

Estimate √15 without a calculator.

Answer 24

≈3.9 (between 3²=9 and 4²=16, very close to 4)

Question 25

A square park has an area of 10 000 m². What is the side length?

Answer 25

100 m

Question 26

If √x = 9, what is x?

Answer 26

81

Question 27

If x² = 256, what is x?

Answer 27

16

Question 28

A square has perimeter 40 cm. What is the area?

Answer 28

100 cm² (side=10, area=10²)

Question 29

Word Problem: The area of a playground is 325 m². Estimate the side length if it’s a square.

Answer 29

≈18 m (since 18²=324)

Question 30

Word Problem: You need to fence a square garden with area 81 m². How much fencing is needed?

Answer 30

36 m (side=9, perimeter=4×9)

Question 31

Word Problem: A square picture has a diagonal of 14.1 cm. Estimate its area.

Answer 31

≈100 cm² (side≈10, area=10²)

Question 32

Word Problem: A square rug covers about 6 m². Estimate its side length to the nearest tenth.

Answer 32

≈2.4 m (since √6≈2.45)