How do you simplify #sqrt(5/4 )+ sqrt(10/8)#?

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Answer 1 · 2016-09-02T18:12:45

# sqrt5#

Split the root so there is a separate numerator and denominator.

#sqrt5/sqrt4 + sqrt10/sqrt(4xx2)#

=#sqrt5/2 + sqrt10/(2sqrt2) " find LCD"#

=#(color(red)(sqrt2xxsqrt5) + sqrt10)/(2sqrt2)#

=#(color(red)(sqrt10)+ sqrt10)/(2sqrt2)#

=#(cancel2sqrt10)/(cancel2sqrt2)#

=#(sqrt2 xxsqrt5)/sqrt2#

=#sqrt5#

Nice!!