marquilarollins2015
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  • 23-01-2022
  • Mathematics
contestada

Between which two integers is the value of square root 11

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sqdancefan
sqdancefan sqdancefan
  • 23-01-2022

Answer:

  3 and 4

Step-by-step explanation:

Powers, roots, and logs are monotonically increasing functions of increasing positive numbers. So, square roots are in the same order as squares. 3^2 < 11 < 4^2, so 3 < √11 < 4.

  √11 is between 3 and 4.

_____

Additional comment

You may find it helpful to memorize square numbers up to about 20².

Your calculator can tell you √11 ≈ 3.317, a number between 3 and 4.

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