Question

How do you simplify `sqrt(27/a^2)`?

Answer 1

`=(3sqrt(3))/a`

Explanation:

`color(blue)("Preamble")`

You are looking for squared values. They can be 'taken outside' the root.

You can write: `sqrt(27/a^2)" as "sqrt(27)/sqrt(a^2)`

If you are ever unsure of something try it out using easy numbers
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`color(blue)("Answering the question")`

Write as:`" "sqrt(27)/sqrt(a^2) = sqrt(27)/a`

Known that `3xx9=27 = 3xx3^2`

Write as:`" "sqrt(3xx3^2)/a=(3sqrt(3))/a`