Question

( √2+1)+(1-√2)/2 is it rational or irrational please give me step by step solution​​

Answer 1

Answer:

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

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

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

$\frac{2 + 2}{4} = \frac{4}{4} = 1$