1) (x+√y)(x+√y) = x^2 + 2x√y + y2) (√x+√xy) ^2 = x + 2√x√y + xy3) (3√6-2√3)^2 = 9(6) - 2(3)(2)(√6)(√3) + 4(3) = 54 - 12√18 + 12 = 66 - 12√184) (4√5-7√5)^2 = 16(5) - 2(4)(7)(√5) + 49(5) = 80 - 56√5 + 245 = 325 - 56√5
1) (x+√y)(x+√y) = x^2 + 2x√y + y
2) (√x+√xy) ^2 = x + 2√x√y + xy
3) (3√6-2√3)^2 = 9(6) - 2(3)(2)(√6)(√3) + 4(3) = 54 - 12√18 + 12 = 66 - 12√18
4) (4√5-7√5)^2 = 16(5) - 2(4)(7)(√5) + 49(5) = 80 - 56√5 + 245 = 325 - 56√5