How do you simplify sqrt5/sqrt32?

1 Answer
Alan P.
Feb 10, 2017

sqrt(5)/sqrt(32)=color(green)(sqrt(10)/8)

Explanation:

sqrt(5)/(sqrt(32)
color(white)("XXX")=sqrt(5)/(sqrt(16) * sqrt(2)

color(white)("XXX")=sqrt(5)/(4sqrt(2))

color(white)("XXX")=sqrt(5)/(4sqrt(2)) xx sqrt(2)/sqrt(2)

color(white)("XXX")=(sqrt(5) * sqrt(2))/(4 * sqrt(2) * sqrt(2))

color(white)("XXX")=sqrt(10)/(4 * 2)

color(white)("XXX")=sqrt(10)/8

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