Question

Is sqrt(a/b) = to (sqrt a)/(sqrt b) = sqrt a * (1/(sqrt b))?

Answer 1

\[\sqrt{\frac{ a }{ b }}= \frac{ \sqrt{a} }{ \sqrt{b} }= \sqrt{a}*\frac{ 1 }{ \sqrt{b} }\]

Answer 2

This is true right?

Answer 3

well the solution you have is

similar to \[\frac{3}{4} = 3 \times \frac{1}{4}\]

Answer 4

and you have correctly applied the rule for dividing radicals

Answer 5

so it all makes sense to me

Answer 6

but you need the proviso...

\[b \ne 0\]

Answer 7

yes thank you

Answer 8

\[a\ge0,b>0\]

Answer 9

oh yea cuz b and a have to be positive