Question

How do you simplify `(3sqrt20)/(2sqrt4)`?

Answer 1

`(3sqrt(5))/2`

Explanation:

to simplify `(3sqrt(20))/(2sqrt(4))` you need to rationalize the denominator which means you need to get rid of that square root in the denominator

fortunately `sqrt(4) = 2` so simplifying this expression is easy

`(3sqrt(20))/(2sqrt(4)) = (3sqrt(20))/(2*2) = (3sqrt(20))/4`

and `sqrt(20) = 2sqrt(5)`

`(3sqrt(20))/4 = (3*2sqrt(5))/4 = (6sqrt(5))/4 = (3sqrt(5))/2`