Prove-it-a-b-a-a-2-b-2-a-a-2-b-2-

Question Number 140503 by ERA last updated on 08/May/21

P rove it

\sqrt{a + \sqrt{b}} = \sqrt{\frac{a + \sqrt{a^{2} + b}}{2} +} \sqrt{\frac{a - \sqrt{a^{2} - b}}{2}}

Commented by MJS_new last updated on 08/May/21

{it}^{'} s wrong

Commented by MJS_new last updated on 10/May/21

{it}^{'} s still wrong

Commented by Dwaipayan Shikari last updated on 10/May/21

I t s h o u l d b e \sqrt{\frac{a + \sqrt{a^{2} - b}}{2}} + \sqrt{\frac{a - \sqrt{a^{2} - b}}{2}}