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Estimating Radicals

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Estimating Radicals Answer Key

1. 
Between which two numbers does [math]sqrt5[/math] fall?
  1. 1 and 2
  2. 2 and 3
  3. 3 and 4
  4. 4 and 5
 
2. 
The square root of 150 is between                .
  1. 10 and 11
  2. 11 and 12
  3. 12 and 13
  4. 13 and 14
3. 
Between what two consecutive whole numbers does [math]sqrt48[/math] lie?
  1. 4 and 5
  2. 5 and 6
  3. 6 and 7
  4. 7 and 8
 
4. 
Between what two numbers does [math]sqrt30[/math] fall?
  1. 4 and 5
  2. 5 and 6
  3. 6 and 7
  4. 7 and 8
5. 
Which integer is closest in value to [math]sqrt 15[/math]?
  1. 2
  2. 3
  3. 4
  4. 5
 
6. 
Which number would be closest to [math]sqrt99[/math]?
  1. 8
  2. 9
  3. 10
  4. 11
7. 
Which whole number is closest to [math]sqrt52[/math]?
  1. 5
  2. 6
  3. 7
  4. 8
 
8. 
Which number is closest in value to [math]sqrt140[/math]?
  1. 9
  2. 10
  3. 11
  4. 12
9. 
[math]sqrt 12[/math] is between which two consecutive whole numbers?
  • 3 and 4
 
10. 
Estimate the value of [math]sqrt75[/math] to the nearest integer. Explain your reasoning.
  • Since 75 is closer to 81 than 64, the square root of 75 is closer to 9 than to 8.

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