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

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Answer 1 · 2018-06-09T00:35:18

$\frac{6 \sqrt{3}}{\sqrt{5}} = \frac{6 \sqrt{15}}{5}$ $(6sqrt3)/sqrt5=color(blue)((6sqrt15)/5$

Simplify:

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

First rationalize the denominator by multiplying both the numerator and the denominator by $\sqrt{5}$ $sqrt5$ .

$\frac{6 \sqrt{3} \sqrt{5}}{\sqrt{5} \sqrt{5}}$ $(6sqrt3sqrt5)/(sqrt5sqrt5)$

Apply rule: $\sqrt{a} \sqrt{a} = a$ $sqrtasqrta=a$

$\frac{6 \sqrt{3} \sqrt{5}}{5}$ $(6sqrt3sqrt5)/5$

Apply rule: $\sqrt{a} \sqrt{b} = \sqrt{a b}$ $sqrtasqrtb=sqrt(ab)$

$\frac{6 \sqrt{15}}{5}$ $(6sqrt15)/5$

How do you simplify 6√3√5(6sqrt3)/sqrt5?