Question

find the value of √162/√2​

Answer 1

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$\huge \tt \green{9}$

Step-by-step explanation:

$\frac{ \sqrt{162} }{ \sqrt{2} } \\ \\ = > \frac{ \sqrt{81 \times 2} }{ \sqrt{2} } \\ \\ = > \frac{ \sqrt{81} \times \sqrt{2} }{ \sqrt{2} } \\ \\ = > \sqrt{81} \times \frac{ \sqrt{2} }{ \sqrt{2} } \\ \\ = > \sqrt{ {9}^{2} } \times \cancel \frac{ \sqrt{2} }{ \sqrt{2} } \\ \\ = > \cancel {\sqrt{ {9}^{2} } } \\ = 9$

Hence √162/√2 = 9.

hope it helps.