Approximating Rational and Irrational Numbers

The √20 is between which two integers?

• 2 & 3

• 3 & 4

• 4 & 5

• 5 & 6

Estimate √18 to the nearest integer

• 6

• 4

• 3

• 5

The √77 is between what two integers?

• 5 and 6

• 6 and 7

• 7 and 8

• 8 and 9

Estimate √119 to the nearest integer

• 11

• 12

• 13

• 10

Approximate the following irrational number to the nearest hundredth without using a calculator.
The square root of 32

• 5.33

• 4.5

• 8

• 5.66

• 5.869767854

• 5.567764363

• 4.498363741

• Cannot be calculated under the real numbers

• -4.26795

• 4.26795

• -7.73205

• -10.39230

• 10.39230

Approximate the following irrational number to the nearest hundredth.
The square root of 32

(Use a calculator to help you with this answer.)

• 5.33

• 4.5

• 8

• 5.66

• 7 and 8
• 8 and 9
• 17 and 18
• 35 and 36

The √40 is between which two consecutive whole numbers?

• 7 & 8

• 4 & 5

• 5 & 6

• 6 & 7