Simplify the expression \[\frac{1}{\sqrt{2}} +\frac{3}{\sqrt{8}} + \frac{6}{\sqrt{32}}.\]
1 / √2 + 3 / √8 + 6 / √32
1 / √2 + 3 / [ 2 √2] + 6 / [ 4 √2 ]
1 / √2 + 3 / [ 2 √2] + 3 / [ 2 √2 ]
2 / [ 2 √2] + 6 / [ 2 √2]
8 / [ 2 √2 ]
4 / √2
4 *√2 / [ √ 2 * √ 2 ]
4 * √2 / 2
(4/2) √2
2√2
