Question

(квадратный корень из 600+корень из 6-корень из 24)*корень из 6

Answer 1

$(sqrt{600}+sqrt{6}-sqrt{24})sqrt{6}$=$(sqrt{6}sqrt{100}+sqrt{6}-sqrt{6}sqrt{4})sqrt{6}$=$6sqrt{100}+6-6sqrt{4}$=6*10+6-6*2=54

 

Answer 2

$(sqrt{600}+sqrt{6}-sqrt{24})*sqrt{6}=\\ (sqrt{6*100}+sqrt{6}-sqrt{4*6})*sqrt{6}=\\ (sqrt{6}*sqrt{100}+sqrt{6}-sqrt{4}*sqrt{6})*sqrt{6}=\\ (10sqrt{6}+sqrt{6}-2sqrt{6})*sqrt{6}=\\ (10+1-2)sqrt{6}*sqrt{6}=9*6=54$