若a=2/3+1,则a2+2a+2的值是_.

问题描述:

若a=

2
3
+1
,则a2+2a+2的值是______.

∵a=

2
3
+1
=
3
-1

∴a+1=
3

∴a2+2a+2=(a+1)2+1=3+1=4.
故本题答案为:4.