Bunuel wrote:
2. If x, y, and z are positive integers and xyz=2,700. Is \sqrt{x} an integer?
(1)y is an even perfect square andz is an odd perfect cube.
(2)\sqrt{z} is not aninteger.
Note: a perfect square, is an integer that can be written as the square of some other integer. For example 16=4^2, is a perfect square. Similarly a perfect cube, is an integer that can be written as the cube of some other integer. For example 27=3^3, is a perfect cube.
Make prime factorization of 2,700 -->xyz=2^2*3^3*5^2 .
(1)y is
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