Question

$\sqrt{32 + \sqrt{2} }$
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Answer 1

$\sqrt{32} + \sqrt{2} \\ \\ = > \sqrt{2 \times 2 \times 2 \times 2 \times 2} + (\sqrt{2} )\\ \\ = > \sqrt{ {(2)}^{2} \times {(2)}^{2} \times 2} + (\sqrt{2} ) \\ \\ = > 2\sqrt{ {(2)}^{2} \times 2 } + ( \sqrt{2}) \\ \\ = > (2 \times 2) \sqrt{2} + (\sqrt{2}) \\ \\ = > \green{ \boxed{4 \sqrt{2} + \sqrt{2} }}$