Understanding irrational numbers

What two integers is the square root of 48 between?

• 5 and 6
• 6 and 7
• 7 and 8
• 23 and 25

√60 is approximately...

• 7.4

• 8

• 30

• 7.8

What two numbers is the  $\sqrt{37}$  between?

• 3 and 4

• 4 and 5

• 5 and 6

• 6 and 7

Aaron has sewn three square tablecloths of different sizes. He determines the length of the diagonal of each square tablecloth.
Part A: The yellow table cloth has a diagonal of   $\sqrt{18}$  feet. What is the length of the diagonal of this tablecloth, to the nearest hundredth of a foot?

• 4.00

• 4.20

• 4.24

• 4.25

Mr. Cleaves wrote four irrational numbers on the board and asked Saul to choose the number closest to 4. Which irrational number should Saul choose?

• √8

• √17

• √12

• √10

Estimate the following square root:

√13

• 5.6

• 2.6

• 3.1

• 3.6

Estimate the square root.

• 7.4

• 23

• 6.8

• 6.5

• 6.2

Estimate $\sqrt{30}$ to the nearest tenths place

Determine between which two numbers the cube root lies:  ∛229

• 8 and 9
• 6 and 7
• 3 and 4
• 7 and 8

A square backyard has an area of 169 square feet. How long is each side of the back yard? Hint: whats the square root?

• 42.25

• 13

• 20

• 35