Question

find the sum of (root2+root3)(root5-root3)(root5+root2)​

Answer 1

Answer:

$(\sqrt{2} + \sqrt{3}) + ( \sqrt{5} - \sqrt{3} ) + ( \sqrt{5} + \sqrt{2} ) \\ \\ = ( \sqrt{2} + \sqrt{2} ) + ( \sqrt{5} + \sqrt{5} ) + ( \sqrt{3} - \sqrt{3} ) \\ \\ = 2 \sqrt{2} + 2 \sqrt{5}$