$$If\ z\ is\ a\ positive\ integer,\ is\ \sqrt{z}\ an\ integer?$$
$$(1)\ \sqrt{xz}\ is\ an\ integer$$
$$(2)\ x=z^3$$
The OA is E.
I think A is the correct answer.
If $$\sqrt{xz},$$ then $$\sqrt{x}\sqrt{z}$$ is an integer, which implies that $$\sqrt{x} \ and\ \ \sqrt{z}$$ are integers.
Am I wrong?
$$(1)\ \sqrt{xz}\ is\ an\ integer$$
$$(2)\ x=z^3$$
The OA is E.
I think A is the correct answer.
If $$\sqrt{xz},$$ then $$\sqrt{x}\sqrt{z}$$ is an integer, which implies that $$\sqrt{x} \ and\ \ \sqrt{z}$$ are integers.
Am I wrong?












