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Order of Operations

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Question

Solve $\frac{1}{\sqrt{2}} \times \frac{1}{\sqrt{2}} (1 + \frac{1}{\sqrt{2}})$

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Solution

Now,
$\frac{1}{\sqrt{2}} \times \frac{1}{\sqrt{2}} (1 + \frac{1}{\sqrt{2}})$
$= \frac{1}{\sqrt{2}} \times \frac{1}{\sqrt{2}} (\frac{\sqrt{2} + 1}{\sqrt{2}})$
$= \frac{1}{2} (\frac{\sqrt{2} + 1}{\sqrt{2}})$
$= (\frac{\sqrt{2} + 1}{2 \sqrt{2}})$ .

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