Approximating Imperfect Square Roots

Approximating Imperfect Square Roots

To determine which two numbers an imperfect square root comes between, find which two perfect squares the number comes between

•  $\sqrt{52}$  - between 7 and 8

•  $\sqrt{99}$  - between 9 and 10

•  $\sqrt{39}$  - between 6 and 7

Multiple Choice

The √20 is between which two integers?

• 2 & 3
• 3 & 4
• 4 & 5
• 5 & 6

Multiple Choice

Between which two whole numbers is the
√5?

• 1 and 2
• 2 and 3
• 3 and 4
• 4 and 5

Multiple Choice

The √40 is between which two consecutive whole numbers?

• 7 & 8
• 4 & 5
• 5 & 6
• 6 & 7

Multiple Choice

In between what two integers is the square root of 77?

• 5 and 6
• 6 and 7
• 7 and 8
• 8 and 9

Multiple Choice

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

• 48
• 81
• 28
• 36

To determine which number an imperfect square root is closer to, look at which perfect square the number is closer to

•  $\sqrt{52}$ - closer to 7

•  $\sqrt{99}$  - closer to 10

•  $\sqrt{39}$  - closer to 6

Multiple Choice

Estimate the square root.

• 4
• 5
• 6
• 7

Multiple Choice

Estimate the square root.

• 9

• 10

• 11

• 12

Multiple Choice

Estimate the square root.

• 3
• 4
• 5
• 6

Multiple Choice

Estimate the square root.

• 4
• 5
• 6
• 7

Multiple Choice

Estimate the square root.

• 1
• 2
• 3
• 4

Multiple Choice

Estimate the square root.

• 4

• 5

• 6

• 7

To approximate to the nearest tenth

• Square decimals between the two perfect squares to get a more accurate estimate

•  $\sqrt{52}$  is closer to 7

  
  

•  $7.1^2\ =50.41$  

•  $7.2^2=51.84$  

•  $7.3^2=53.29$  

• 51.84 is closest to 51.84 so  $\sqrt{52}$  is approximately 7.2

Multiple Choice

Estimate the square root.

• 4.2
• 4
• 4.6
• 5

Multiple Choice

Round to the Nearest Tenth: √119

• 10.9
• 10.5
• 11.1
• 10

Multiple Choice

Which is the best estimate of the square root of 63?

• 7.1
• 7.3
• 7.5
• 7.9

Poll

How do you feel about approximating square roots?

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