Question

(√7/6√2)^2 ....answer this with solution and I will mark you as the brainliest​

Answer 1

$\sf{ {( \frac{ \sqrt{7} }{6 \sqrt{2} }) }^{2}}$

⟶$\sf{ \frac{ \sqrt{7} }{6 \sqrt{2} } \times \frac{ \sqrt{7} }{6 \sqrt{2} }}$

$\sf{We\:know\:that}$√7 * √7 = 7 $\sf(in\:the\:numerator)}$

Now 6√2 * 6√2,

$\sf{First\:consider\:the\:whole\:number\:part}$

$\sf{6\:*\:6\:=\:36----------(i)}$

$\sf{Then\:the\:root:}$

√2 * √2 = 2------(ii)

$\sf{Now\:multiply\:(i)\:and\:(ii)}$

$\sf{36\:*\:2\:=\:72\:(in\:the\:denominator)}$

⟶ $\large{{\frac{7}{36 \times 2}}}$

⟶ $\huge{\red{\boxed{\boxed{\frac{7}{72}}}}}$