a) 3(√2+4√3)-2(5√3-3√2)= b) (2+√7)*(2-√7)= c) (√3+√2)²= d) (1+√5)² +(1-√5)²= e) √15/√3=

a) 3(√2+4√3)-2(5√3-3√2)= 3√2+12√3-10√3+6√2=9√2+2√3 b) (2+√7)*(2-√7)= 4-2√7+2√7-7=-3 c) (√3+√2)²= 3+2=5 d) (1+√5)² +(1-√5)²= 1+5+1-5=2 e) √15/√3= √5

a) 3(√2+4√3)-2(5√3-3√2)= 3√2+12√3-10√3+6√2=9√2-2√3 b) (2+√7)*(2-√7)= 4-√49=4-7=-3 c) (√3+√2)²= (√3)²+2*√3*√2+(√2)²=√9+2√6+√4=3+2√6+2=5+2√6 d) (1+√5)² +(1-√5)²= 1²+2*1*√5+(√5)²+1²+2*1*√5+(√5)²=1+2√5+√25+1+2√5+√25=1+2√5+5+1+2√5+5=12+4√5 e) √15/√3= √5