Question

The difference between " alt=" \sqrt[2]{72} " align="absmiddle" class="latex-formula"> and $\sqrt{8}$ is
A) $\sqrt[10]{2}$
B) $\sqrt[8]{2}$
C) $\sqrt[6]{2}$
D) $\sqrt{2}$

Answer 1

$\sqrt{72}-\sqrt{8}=\sqrt{36\cdot 2}-\sqrt{4\cdot 2}\\\\=6\sqrt{2}-2\sqrt{2}=4\sqrt{2}$