Question

underoot3+underoot5 whole square is irrational to prove

Answer 1

$(\sqrt{3} + \sqrt{5} {)}^{2} \\ = 3 + 5 + 2 \sqrt{3} \sqrt{5 } \\ = 8 + 2 \sqrt{15} \\ = 8 + 2(irrational \: number) \\ = irrational$