How do you rationalize the denominator and simplify $\frac{6 \sqrt{5}}{5 \sqrt{3}}$ $(6sqrt5)/(5sqrt3)$ ?

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Answer 1 · 2016-08-29T07:08:03

$(\frac{2}{5}) \sqrt{15}$ $(2/5)sqrt15$ .

The Exp. $= \frac{6 \sqrt{5}}{5 \sqrt{3}}$ $=(6sqrt5)/(5sqrt3)$

$= \frac{6 \sqrt{5}}{5 \sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}}$ $=(6sqrt5)/(5sqrt3) xx sqrt3/sqrt3$

$=((cancel(3)xx2)(sqrt(5xx3)))/(cancel(3)xx5)$

$=(2/5)sqrt15$ .

How do you rationalize the denominator and simplify (6sqrt5)/(5sqrt3)6√55√3(6sqrt5)/(5sqrt3)?