题目信息
If b is an integer, is 
an integer?
an integer?
A:Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B:Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C:BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D:EACH statement ALONE is sufficient.
E:Statements (1) and (2) TOGETHER are NOT sufficient.
参考答案及共享解析
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已选答案：
正确答案：
B:Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
Algebra Operations on radical expressions
Given that b is an integer, determine if
is an integer.
It is given that a 2 + b 2 is an integer. If a = 3 and b = 4, then
= 5, which is an integer. However, if a = 1 and b = 2, then 
= 
, which is not an integer; NOT sufficient.
It is given that a 2 – 3b 2 = 0, from which it follows that a 2 = 3b 2. Then, 
= 
= 
= 
, which is an integer; SUFFICIENT.
The correct answer is B;statement 2 alone is sufficient.
Given that b is an integer, determine if
is an integer.It is given that a 2 + b 2 is an integer. If a = 3 and b = 4, then
= 5, which is an integer. However, if a = 1 and b = 2, then = , which is not an integer; NOT sufficient.
It is given that a 2 – 3b 2 = 0, from which it follows that a 2 = 3b 2. Then, = = = , which is an integer; SUFFICIENT.The correct answer is B;statement 2 alone is sufficient.
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