Question

(3*sqrt(23)-sqrt(24)+sqrt(6))(2*sqrt(23)+3*sqrt(23))

Answer 1

$3 sqrt{ frac{2}{3} } - sqrt{24} + sqrt{6} *(2 sqrt{ frac{2}{3} } +3 sqrt{ frac{2}{3} }$ =
=$sqrt{ frac{9*2}{3} } -2 sqrt{6} + sqrt{6} *5 sqrt{ frac{2}{3} } =$

= $sqrt{6} -2 sqrt{6} +5 sqrt{ frac{6*2}{3} } =- sqrt{6} +5*2=$

=$- sqrt{6} +5*2 = 10 - sqrt{6}$