How do you simplify by rationalizing the denominator #sqrt(5 / 2x)#?

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Answer 1 · 2015-04-10T06:57:23

The answer is #sqrt 10/2x#.

#(sqrt(5)/sqrt (2))x#

Simplify.

#(sqrt 5)/(sqrt 2)x#

Rationalize the denominator by multiplying by #sqrt 2/sqrt2#

#(sqrt 5)/(sqrt 2)*sqrt 2/sqrt 2# =

#(sqrt 5*sqrt 2)/(2)x#

Simplify.

#sqrt 10/2x#