Estimating Square Roots

The square root of 99 falls between which two consecutive whole numbers?

• 7 and 8

• 8 and 9

• 10 and 11

• 9 and 10

Between what two numbers can the square root of 8 be found?

• Between 1 and 2 and closer to 1

• Between 1 and 2 and closer to 2

• Between 2 and 3 and closer to 2

• Between 2 and 3 and closer to 3

Which square root would come between 10 and 11 on a number line?

• √ 98

• √ 128

• √ 118

• √ 81

Which square root would come between 11 and 12 on a number line?

• √ 120

• √ 128

• √ 145

• √ 100

What square root would come between 13 and 14 on a number line?

• √ 166

• √ 172

• √ 199

• √ 200

What square root would come between 14 and 15 on a number line, but closer to 15?

• √ 169

• √ 199

• √ 215

• √ 230

Estimate the following square root. Round to the nearest tenths place: √13

• 5.6

• 2.6

• 3.9

• 3.6

Mr. Cleaves wrote four square roots on the board and asked Saul to choose the number closest to 4. Which square root should Saul choose?

• √8

• √17

• √12

• √10

Estimate  √95 .

• 8   14/19

• 9    14/19

• 10    14/19

• 9

Which number has a square root that  is between 5 and 6?

• 48

• 81

• 28

• 36