Question

$\sqrt{2 \times \sqrt{2 \sqrt{4 \times \sqrt{4} } } }$
remove the root​

Answer 1

Given,

$\sqrt{2 \times \sqrt{2 \sqrt{4 \times \sqrt{4} } } } \\ \\ = \sqrt{2 \times \sqrt{2 \sqrt{4 \times 2} } } \\ \\ = \sqrt{2 \times \sqrt{2 \times 2 \times \sqrt{2} } } \\ \\ = \sqrt{2 \times \sqrt{4 \sqrt{2} } } \\ \\ = \sqrt{2 \times 2 \sqrt[4]{2}} \\ \\ = 2 \sqrt[8]{2}$

Hope it helps