Question

How do you simplify and rationalize the denominator `(sqrt(21/7)) * (sqrt(21/32))`?

Answer 1

`(sqrt(21/7))*(sqrt(21/32))`

`=sqrt(3)* (sqrt(3)*sqrt(7))/(4sqrt(2))`

`= (3sqrt(7))/(4sqrt(2))`

`= (3sqrt(7))/(4sqrt(2))* (sqrt(2))/(sqrt(2))`

`= (3sqrt(14))/8`