How do you rationalize the denominator and simplify $(6 sqrt 5)/(5 sqrt 3)$ ?

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Answer 1 · 2015-04-03T10:22:13

To get rid of radicals under the division bar, multiply both top and bottom by the same root $sqrt3$ :

$(6sqrt5)/(5sqrt3) *sqrt3/sqrt3=(6sqrt5*sqrt3)/(5sqrt3^2)=(6sqrt15)/(5*3)=2/5 sqrt15$

How do you rationalize the denominator and simplify (6 sqrt 5)/(5 sqrt 3)(6 sqrt 5)/(5 sqrt 3)?