Question

根号下5+根号下20-根号下12+2又根号下三,

计算根号下(3-2根号2)+根号下(17-12根号下2)的值为---
计算根号下2(3-2根号2)+根号下(17-12根号下2)的值为--- 刚才打错了。呵呵，

Answer 1

原式=根号下(1-2×根号2+2)+根号下(9-2×根号72+8)
=根号下[(根号2-1)²]+根号下[(根号9-根号8)²]
=|根号2-1|+|根号9-根号8|
=根号2-1+根号9-8
=根号2-1+3-2根号2
=2-根号2