合聚咖

合聚咖

若根号192x是整数,当x取最小的正整数时,求代数式(x+x4/x+3)÷x^2/x+3的值

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192=8^2*3

根号192x是整数

x取最小的正整数时

x=3

[1-3/(x+2)]÷(x^2-2x+1)/(x^2-4)

=(x-1)/(x+2)÷(x-1)²/(x+2)(x-2)

=(x-1)/(x+2)*(x+2)(x-2)/(x-1)²

=(x-2)/(x-1)

=1/2