Question

is (under root2+3)(under root 2-3)a rational number or irrational number justify your answer

Answer 1

$it \: is \: rational. \\ because \: \\ ( \sqrt{2} + 3)( \sqrt{2} - 3) \: will \: be \: equal \: to \: 4 - 9 = - 5 \\ using \: the \: formula \: (a + b)(a - b) = {a}^{2} + {b}^{2}$