Question

if 8+2√15 equal to (a+ b)^2find a and b ​

Answer 1

$8+2\sqrt{15}=3+2\sqrt{15}+5=(\sqrt3+\sqrt5)^2 \vee (-\sqrt3-\sqrt5)^2\\\\(a,b)\in\left\{(\sqrt3,\sqrt5),(\sqrt5,\sqrt3),(-\sqrt3,-\sqrt5),(-\sqrt5,-\sqrt3)\right\}$

Answer 2

$a = \sqrt{3} , - \sqrt{3} \\ b = \sqrt{5} ,- \sqrt{5}$