Question

$( \sqrt 19-5)( \sqrt57+ \sqrt75+ \sqrt19+5)/  √3+1$

Answer 1

(√19-5)(√57+√75+√19+5)/(√3+1)=-6

1. √57+√75+√19+5=(√57+√19)+(√75+5)=(√3*√19+√19)+(√25*√3+5)=√19(√3+1)+5(√3+1)=(√3+1)(√19+5)

2. (√19-5)(√19+5)(√3+1)/(√3+1)=(19-25)(√3+1)/(√3+1)=-6