Question

root 162 divided by root 2

Answer 1

Hey friend,
Here is the answer you were looking for:
$\frac{ \sqrt{162} }{ \sqrt{2} }$

Splitting we get,

$= \frac{ \sqrt{2 \times 9 \times 9} }{ \sqrt{2} } \\ \\ = \frac{9 \sqrt{2} }{ \sqrt{2} }$

On rationalizing the denominator we get,

$= \frac{9 \sqrt{2} }{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } \\ \\ = \frac{9 \sqrt{2} \times \sqrt{2} }{ {( \sqrt{2} )}^{2} } \\ \\ = \frac{9 \times 2}{2} \\ \\ = 9$

Hope this helps!!

If you have any doubt regarding to my answer, feel free to ask in the comment section or inbox me if needed.

@Mahak24

Thanks...
☺☺

Answer 2

$\frac{ \sqrt{162} }{ \sqrt{2} }$

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

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

$\frac{9 * \sqrt{2} }{ \sqrt{2} }$

9 



i hope this will help you


-by ABHAY