Question

Simplify1+√2/2-√2 cant find a solution

Answer 1

Answer:

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

Step-by-step explanation:

$\frac{1 + \sqrt{2}}{2 - \sqrt{2}}\\\\= \frac{1 + \sqrt{2}}{2 - \sqrt{2}} * \frac{2 + \sqrt{2}}{2 + \sqrt{2}}...Rationalizing\\\\= \frac{(1 + \sqrt{2})(2 + \sqrt{2})}{(2 - \sqrt{2})(2 + \sqrt{2})}\\\\= \frac{(1 + \sqrt{2})(2 + \sqrt{2})}{2^{2} - \sqrt{2}^{2}}\\\\= \frac{2 + \sqrt{2} + 2\sqrt{2} + 2}{4-2} = \frac{4 + 3\sqrt{2}}{2}\\\\=\frac{4}{2} + \frac{3\sqrt{2}}{2} = 2 + \frac{3\sqrt{2}}{2}$

Therefore,

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

Answer 2

Answer:2 + 3√2/2

1+√2/2-√2 rationalize it ,

1+√2/2-√2 X 2+√2/2+√2 ,

1+√2 X 2+√2/2^2-√2^2

after solving,

2+√2 +2√2+2/4-2

4+ 3√2/2

2 + 3√2/2

is the answer