Question

simplyfy 3/root 8+1root 2​

Answer 1

$Given \: \frac{3}{\sqrt{8} + \sqrt{2} }$

$= \frac{3}{\sqrt{2\times 2 \times 2} + \sqrt{2} }$

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

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

$= \frac{1}{\sqrt{2} }$

$= \frac{\sqrt{2}}{\sqrt{2} \times \sqrt{2} }$

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

Therefore.,

$\red {\frac{3}{\sqrt{8} + \sqrt{2} } }\green { =\frac{\sqrt{2}}{2}}$

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