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

Question

1924 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-02-16T06:13:31

$(3sqrt(5))/2$

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 $sqrt(20) = 2sqrt(5)$

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

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