Question

3 + root 2 by 4 root 2

Answer 1

Answer:

$= \frac{3 + \sqrt{2} }{4 \sqrt{2} } \\ \\ =$

Answer 2

We have

$\frac{3 + \sqrt{2} }{4 \sqrt{2} }$

So we have to rationalize the denominator.

$\implies\frac{3 + \sqrt{2} \times (4 \sqrt{2} )}{4 \sqrt{2} \times (4 \sqrt{2} ) } \\ \\ \implies \: \frac{3(4 \sqrt{2} )+ \sqrt{2} (4 \sqrt{2}) }{(4 \sqrt{2}) {}^{2} } \\ \\ \implies \: \frac{12 \sqrt{2} + 4(2)}{(16(2))} \\ \\ \implies \: \frac{12 \sqrt{2} + 8 }{32} \\ \\ \implies \: \frac{4(3 \sqrt{2} + 2) }{32} \\ \\ \green{\implies \: \frac{3 \sqrt{2} + 2}{8} }$

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