问题
单项选择题
Is the positive integer n equal to the square of an integer ?()
(1)For every prime number p, if p is a divisor of n, then so is p2.
(2) is an integer
A.条件(1)充分,但条件(2)不充分.
B.条件(2)充分,但条件(1)不充分.
C.条件(1)和(2)单独都不充分,但条件(1)和条件(2)联合起来充分.
D.条件(1)充分,条件(2)也充分.
E.条件(1)和条件(2)单独都不充分,条件(1)和条件(2)联合起来也不充分.
答案
参考答案:B
解析:
(1)不充分,因为p2有可能等于n,也有可能不等于n;(2)充分,因为[*]是整数,则n就是整数[*]的平方。