Question

rationalize the denominator of 1 + root 2 upon 2 minus root 2​

Answer 1

1+√2/2-√2*2+√2

2+2/4-2

4/2

2/1

Answer 2

Given : $\frac{1+\sqrt{2}}{2-\sqrt{2}}$

we have to rationalise the denominator

Step-by-step explanation:

$\frac{1+\sqrt{2}}{2-\sqrt{2}}\\\\\text{multiplying by denominator with opposite a sign }\\\\\frac{1+\sqrt{2}}{2-\sqrt{2}}\times \frac{2+\sqrt{2}}{2+\sqrt{2}}\\\\=\frac{2+\sqrt{2}+2\sqrt{2}+2}{2^2-(\sqrt{2})^2}\\\\=\frac{4+3\sqrt{2}}{4-2}\\\\\frac{4+3\sqrt{2}}{2}$

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