Question

the square root of 66 is between 8.12 and _,and it is closer to_

Answer 1

Answers:

Square root of 66 is between  8   and  9  

It is closer to  8  

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Explanation:

Note that 66 is between the perfect squares 64 and 81

So we can say the following:

$64 < 66 < 81\\\\\sqrt{64} < \sqrt{66} < \sqrt{81}\\\\8 < \sqrt{66} < 9$

Meaning the square root of 66 is between the integers 8 and 9.

The decimal approximation of 8.12 helps confirm this (because 8.12 is between 8 and 9).

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$\sqrt{66}$ is closer to 8 than it is to 9 since 66 is closer to 64, than 66 is to 81.

Also, we're told that $\sqrt{66} \approx 8.12$ giving us more proof that $\sqrt{66}$ is closer to 8.