How do you simplify $\frac{3 \sqrt{6} + 2 \sqrt{5}}{\sqrt{6} + \sqrt{5}}$ $(3sqrt6+2sqrt5) /( sqrt6+sqrt 5)$ ?

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How do you simplify $\frac{3 \sqrt{6} + 2 \sqrt{5}}{\sqrt{6} + \sqrt{5}}$ $(3sqrt6+2sqrt5) /( sqrt6+sqrt 5)$ ?

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Answer 1 · 2016-05-31T12:03:09

$8 - \sqrt{30}$ $8-sqrt(30)$

Explanation:

Using $(a + b) (a - b) = a^{2} - b^{2}$ $(a+b)(a-b)=a^2-b^2$ and simplifying
$\frac{3 \sqrt{6} + 2 \sqrt{5}}{\sqrt{6} + \sqrt{5}} = \frac{(3 \sqrt{6} + 2 \sqrt{5}) (\sqrt{6} - \sqrt{5})}{(\sqrt{6} + \sqrt{5}) (\sqrt{6} - \sqrt{5})} = 8 - \sqrt{30}$ $(3 sqrt[6] + 2 sqrt[5])/(sqrt[6] + sqrt[5]) =((3 sqrt[6] + 2 sqrt[5]) (sqrt[6] - sqrt[5]))/((sqrt[6] + sqrt[5]) (sqrt[6] - sqrt[5])) = 8 -sqrt(30)$

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How do you simplify $\frac{3 \sqrt{6} + 2 \sqrt{5}}{\sqrt{6} + \sqrt{5}}$ $(3sqrt6+2sqrt5) /( sqrt6+sqrt 5)$ ?

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How do you simplify 3√6+2√5√6+√5(3sqrt6+2sqrt5) /( sqrt6+sqrt 5)?

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How do you simplify $\frac{3 \sqrt{6} + 2 \sqrt{5}}{\sqrt{6} + \sqrt{5}}$ $(3sqrt6+2sqrt5) /( sqrt6+sqrt 5)$ ?