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

1 Answer
Tony B
Feb 27, 2017

=(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

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