Question

factorizaton of x²+7√6 x +60

Answer 1

${x}^{2} + 7 \sqrt{6} x + 60 = 0\\ {x}^{2} + 5 \sqrt{6}x + 2 \sqrt{6} x + 60 = 0\\ x(x + 5 \sqrt{6} ) + 2 \sqrt{6} (x + 5 \sqrt{6} ) = 0 \\ (x + 2 \sqrt{6} )(x + 5 \sqrt{6} ) = 0 \\ x = - 2 \sqrt{6} \: and \: \: - 5 \sqrt{6}$