Question

Simplify. rt16+ \sqrt8" alt="\sqrt32 + \sqrt16+ \sqrt8" align="absmiddle" class="latex-formula">

Answer 1

Answer:

$4 + 6 \sqrt{2}$

Step-by-step explanation:

$\sqrt{32} + \sqrt{16} + \sqrt{8}$

$\sqrt{32} = \sqrt{4 \times 4 \times 2} = 4\sqrt{2}$

$\sqrt{16} = \sqrt{4 \times 4} = 4$

$\sqrt{8} = \sqrt{2 \times 2 \times 2} = 2 \sqrt{2}$

$4 + 4\sqrt{2} + 2 \sqrt{2} = 4 + 6 \sqrt{2}$