How do you rationalize the denominator and simplify $\frac{6 \sqrt{5}}{\sqrt{15} + 2}$ $(6sqrt5)/(sqrt15 +2)$ ?

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Answer 1 · 2018-04-17T23:21:40

$\frac{30 \sqrt{3} - 12 \sqrt{5}}{11}$ $(30sqrt3-12sqrt5)/11$

$\frac{6 \sqrt{5}}{\sqrt{15} + 2}$ $(6sqrt5)/(sqrt(15)+2)$ $\times$ $xx$ $\frac{\sqrt{15} - 2}{\sqrt{15} - 2}$ $(sqrt(15)-2)/(sqrt(15)-2)$

$\Rightarrow$ $=>$ $\frac{6 \sqrt{75} - 12 \sqrt{5}}{15 - 2 \sqrt{15} + 2 \sqrt{15} - 4}$ $(6sqrt75-12sqrt5)/(15-2sqrt15+2sqrt15-4)$

$\Rightarrow$ $=>$ $\frac{30 \sqrt{3} - 12 \sqrt{5}}{11}$ $(30sqrt3-12sqrt5)/11$

How do you rationalize the denominator and simplify 6√5√15+2(6sqrt5)/(sqrt15 +2)?