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!!

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