How do you simplify #sqrt(30)/(sqrt(2)*sqrt(5)#?

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Answer 1 · 2018-06-06T09:27:43

#[sqrt(30)/[(sqrt(2)*sqrt(5))]]=sqrt30/sqrt10=sqrt(30/10)=sqrt3#

Note that:

#color(red)[sqrta/sqrtb=sqrt(a/b)]#

#color(red)[sqrta*sqrtb=sqrt(a*b)]#

#[sqrt(30)/[(sqrt(2)*sqrt(5))]]=sqrt30/sqrt10=sqrt(30/10)=sqrt3#

Answer 2 · 2018-06-06T09:28:45

#sqrt30/(sqrt2*sqrt5) = sqrt30/sqrt(2*5)=sqrt(30/10)=sqrt3#

#sqrt30/(sqrt2*sqrt5) = sqrt30/sqrt(2*5)=sqrt(30/10)=sqrt3#