Question

√2/(2+√2)
plz solve it​

Answer 1

Answer:

$\frac{ \sqrt{2} }{2 + \sqrt{2} } \\ = \frac{ \sqrt{2} }{2 + \sqrt{2} } \times \frac{2 - \sqrt{2} }{2 - \sqrt{2} } \: \: \: (on \: rationalization) \\ = \frac{ \sqrt{2} (2 - \sqrt{2)} }{ {2}^{2} - {( \sqrt{2} )}^{2} } \\ = \frac{2 \sqrt{2} - 2}{4 - 2} \\ = \frac{2( \sqrt{2 - 1} )}{2} \\ = \sqrt{2} - 1 \: \: \: \: ans.$