1) 11√ 5 + √ 500 -√180 = 11√5 + 10√ 5- 6 √ 5 = 15√5
2) 3 √ 2 ( 5√ 2√ 32) = 3 √ 2 х (5√ 2 - 4√2)= 3√х √2= 3х2= 6
3) (√6+√3)² = 6 +2√18+3= 6+6√2+3= 9+ 6√2
4) (√3-√8)(√8+√3) = (√3-2√2) х (2√2+√3)= (√3-2√2)х(√3+2√2)= 3-4х2= -5
5) 7+√7/5√7 = (7+√7)√7/5√7√7 = 7√7+7/5х7 = 7(√7+1)/35 = √7+1/5
6) 10/3-√5= 10(3+√5)/(3-√5)х(3+√5)= 10(3+√5)/ 9-5= 10(3+√5)/ 4 = 5(3+√5)/2= 15+5√5/2
7) √12+6√3= √(3+√3)²=3+√3
/ - дробь; х - умножение