Question

What is the square root of the fraction 7/12?

Answer 1

`sqrt(7/12) = sqrt(21)/6`

Explanation:

`sqrt(7/12) = sqrt(21/36) = sqrt(21)/sqrt(36) = sqrt(21)/6`

Why did I multiply both the numerator and denominator by `3`?

I noticed that `12 = 2^2*3` has one square factor in `2^2=4` and is only lacking another factor of `3` to make a square number.

Then I used `sqrt(a/b) = sqrt(a)/sqrt(b)` allowing the resulting denominator to be an integer.