A perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer. How many positive integers n are there such that n is less than 1,000 and at the same time n is a perfect square and a perfect cube?	Pick one.
A) 2
B) 3
C) 4
D) 5
E) 6
Given: positive integer n is a perfect square and a perfect cube --&gt; n is of a form of n=x6 for some positive integer x --&gt; 0<x^6<10^3 --=""> 0<x^2<10 --=""> x can be 1, 2 or 3 hence nn can be 1^6, 2^6 or 3^6.   Answer: 3.</x^2<10></x^6<10^3>
<result>B</result>
A perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer. How many positive integers n are there such that n is less than 1,000 and at the same time n is a perfect square and a perfect cube?