Question

(square root of 5 - 2)(square root of 3 - square root of 5)​

Answer 1

Answer: $\sqrt{15} -5-2\sqrt{3} +2\sqrt{5}$

Step-by-step explanation:

$(\sqrt{5} -2)(\sqrt{3} -\sqrt5})\\= \sqrt{5}(\sqrt{3} -\sqrt5})-2(\sqrt{3} -\sqrt5})\\= \sqrt{15}-(\sqrt{5} )^{2} -2\sqrt{3} +2\sqrt{5} \\= \sqrt{15}-\sqrt{25} -2\sqrt{3} +2\sqrt{5}\\= \sqrt{15} -5-2\sqrt{3} +2\sqrt{5}$