(a+b)²=5²
a²+2ab+b²=25
a²+b²=25-2ab=17
(a-b)²
=a²-2ab+b²
=17-8
=9
所以a-b=±3
上下乘√a+√b
原式=(√a-√b)(√a+√b)/(√a+√b)²
=(a-b)/(a+b+2√ab)
=±3/(5+4)
=±1/3
(a+b)²=5²
a²+2ab+b²=25
a²+b²=25-2ab=17
(a-b)²
=a²-2ab+b²
=17-8
=9
所以a-b=±3
上下乘√a+√b
原式=(√a-√b)(√a+√b)/(√a+√b)²
=(a-b)/(a+b+2√ab)
=±3/(5+4)
=±1/3