Question

simplify √18 / 5√18 + 3√72 - 2√162. PLEASE SOLVE THIS SUM WITHE THE ROUGH WORK​

Answer 1

Answer:1/5 is the answer of this sum..

Step-by-step explanation:

Answer 2

$\frac{\sqrt{18}}{5\sqrt{18}+3\sqrt{72}-2\sqrt{162}}=\frac{1}{5}$

Step-by-step explanation:

Given : Expression $\frac{\sqrt{18}}{5\sqrt{18}+3\sqrt{72}-2\sqrt{162}}$

To find : Simplify the expression ?

Solution :

$\frac{\sqrt{18}}{5\sqrt{18}+3\sqrt{72}-2\sqrt{162}}$

Writing in factor form,

$=\frac{3\sqrt{2}}{5\times 3\sqrt{2}+3\times 6\sqrt{2}-2\times 9\sqrt{2}}$

$=\frac{3\sqrt{2}}{15\sqrt{2}+18\sqrt{2}-18\sqrt{2}}$

$=\frac{3\sqrt{2}}{(15+18-18)\sqrt{2}}$

$=\frac{3\sqrt{2}}{15\sqrt{2}}$

$=\frac{1}{5}$

Therefore, $\frac{\sqrt{18}}{5\sqrt{18}+3\sqrt{72}-2\sqrt{162}}=\frac{1}{5}$

#Learn more

Simplify (√5+√3) (√5-√3)

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