1,√12+3(√4/3)-(√16/3)-2/3√48
问题描述:
1,√12+3(√4/3)-(√16/3)-2/3√48
2,已知x=7+4√3,y=7-4√3,求下列各式的值
(1)2x^2+4xy+2y^2 (2)(√x^2-94xy+y^2)(本题根号把所有数字都括起来)
答
(1)化简得2(x+y)^2,x=7+4√3,y=7-4√3,代入得
2(7+4√3+7-4√3)^2=392.
(2)先计算x^2-94xy+y^2
x^2=49+56√3+48
94xy=94
y^2=49-56√3+48
所以x^2-94xy+y^2=96
√x^2-94xy+y^2=4√6