if y is a positive integer, is radical y an integer?
1)Radical 4y is an integer
2)Radical 3y is not an integer
I chose e here, because if y=1/4, radical (4*(1/4))= radical 1 = 1, therefore, y may or may not be an integer.
y cannot be 1/4 because it is a positive integer
I got A
The question is asking if sqrt(y) = integer?
(1) sqrt(4y) = 2sqrt(y) = integer
This means either sqrt(y) = 1/2 or sqrt(y) = integer
We know that sqrt(y) != 1/2 because y is an integer. So sqrt(y) = integer
(2) sqrt(3y) != integer
if y=2, then sqrt(2) != integer
if y=4, then sqrt(4) = integer