问题
解答题
(1)求
(2)求(
(
(3)比较(1)(2)的结果,把你的发现用式子表示出来. (4)根据上面发现的规律,求(3-π)2的算术平方根. |
答案
(1)
=2,22
=3,(-3)2
=5,52
=6,(-6)2
=7,72
=0,02
=|a|=a2
.a(a>0) 0(a=0) -a(a<0)
(2)(
)2=4,(4
)2=9,(9
)2=25,(25
)2=36,(36
)2=49,(49
)2=0,0
∵a≥0,
∴(
)2=a.a
(3)若a>0,则
=(a2
)2;若a=0,则a
=(a2
)2;若a<0,则a
=-a.a2
(4)(3-π)2的算术平方根是
=π-3.(3-π)2