Question

2a^2+2√6ab+3b^2 need to favorite

Answer 1

Answer:

$2 {a}^{2} + 2 \sqrt{6} ab + 3 {b}^{2} \\ = 2 {a}^{2} + \sqrt{6} ab \: + \sqrt{6} ab + 3 {b}^{2} \\ = (2 {a}^{2} + \sqrt{2} \times \sqrt{3} ab) + (\sqrt{2} \times \sqrt{3}ab +3 {b}^{2}) \\ = \sqrt{2} a( \sqrt{2} a + \sqrt{3} b) + \sqrt{3} b( \sqrt{2} a + \sqrt{3} b) \\ = ( \sqrt{2} a + \sqrt{3} b)( \sqrt{2} a + \sqrt{3} b) \\ are \: required \: factors \: of \: given \: \\ algebraic \: expression.$