How do you simplify $sqrt (27 / 64)$ ?

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Answer 1 · 2016-02-08T18:42:45

$(3sqrt3)/8$

We can begin be re writing the square root as:

$sqrt(27/64) = sqrt(27)/sqrt(64)$

Luckily, 64 is a square number so that will allow us to get rid of the square root on the bottom:

$=sqrt(27)/8$

Now we can transform $sqrt(27)$ into a surd like so:

$sqrt(27) = sqrt(9*3) = sqrt(9)*sqrt(3) = 3sqrt3$

So the fraction can be re written as:

$(3sqrt3)/8$

How do you simplify sqrt (27 / 64)sqrt (27 / 64)?