How do you simplify $sqrt(27/16)$ ?

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Answer 1 · 2017-07-12T14:20:35

It is $(3timessqrt3)/4$

You can write your expression

$(sqrt27)/(4)$

since $sqrt16=4$

You can further write

$(sqrt(9times3))/4 = (3times(sqrt3))/4$

This is your answer

$(3times(sqrt3))/4$

Answer 2 · 2017-07-12T14:26:59

$(3sqrt3)/4$

Value $=sqrt(27/16)$

Expressing the numerator and denominator as their prime factors:

Value $= sqrt((3xx3xx3)/(2xx2xx2xx2))$

Taking each pair of factors once through the $sqrt$ .

Value $=( 3sqrt3)/(2xx2)$

$= (3sqrt3)/4$

How do you simplify sqrt(27/16)sqrt(27/16)?