Question

If √a+√b=2+√3,then √a^2-b =?​

Answer 1

Answer:

$\sqrt{a + \sqrt{b} } = 2 + \sqrt{3} \\ squaring \: on \: both \: sides \\ a + \sqrt{b} = (2 + \sqrt{3} {)}^{2} \\ = 7 + 4 \sqrt{3} \\ = 7 + \sqrt{48} \\ a = 7 \: \: \: b = 48 \\ \sqrt{a^{2} - b } = \sqrt{1} = 1$