Question

rationalize the denominator 1+ root 2 upon 2-root 2

Answer 1

$\frac{1 \times \sqrt{2} }{2 - \sqrt{2} } \times \frac{2 + \sqrt{2} }{2 + \sqrt{2} }$

$\frac{1(2 + \sqrt{2} ) + \sqrt{2} (2 + \sqrt{2}) }{ {2 }^{2} - ( \sqrt{2}) ^{2} }$

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

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

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