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

2 Answers
Jun 6, 2018

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

Explanation:

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

Jun 6, 2018

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

Explanation:

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