How do you simplify $(6sqrt3)/sqrt5$ ?

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Answer 1 · 2018-06-09T00:35:18

$(6sqrt3)/sqrt5=color(blue)((6sqrt15)/5$

Simplify:

$(6sqrt3)/sqrt5$

First rationalize the denominator by multiplying both the numerator and the denominator by $sqrt5$ .

$(6sqrt3sqrt5)/(sqrt5sqrt5)$

Apply rule: $sqrtasqrta=a$

$(6sqrt3sqrt5)/5$

Apply rule: $sqrtasqrtb=sqrt(ab)$

$(6sqrt15)/5$

How do you simplify (6sqrt3)/sqrt5(6sqrt3)/sqrt5?