How do you simplify #sqrt(18/32)#?

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Answer 1 · 2016-03-20T21:26:47

#3/4#

First, simplify the fraction inside the square root by dividing by #2//2#.

#sqrt(18/32)=sqrt(9/16)#

Note that we can use the rule

#sqrt(a/b)=sqrta/sqrtb#

When #a,b>0#.

This gives us

#sqrt(9/16)=sqrt9/sqrt16=barul|color(white)(ss)3/4color(white)(ss)|#