No, 2 is neither a perfect square nor a perfect cube.
perfect squere is 2
Because they are square/cube of an integer.
When ( x ) is a perfect square, it can be expressed as ( x = n^2 ) for some integer ( n ). The cube of ( x ) is then ( x^3 = (n^2)^3 = n^6 ). Since ( n^6 ) is also a perfect square (as ( n^6 = (n^3)^2 )), it follows that the cube of any perfect square is itself a perfect square. Thus, when ( x ) is a perfect square, ( x^3 ) is also a perfect square.
It is both because 1,000,000 is a perfect cube and a perfect square number
200 is neither a perfect square nor a perfect cube. A perfect square is an integer that can be expressed as the square of another integer, and the prime factorization of 200 (2^3 × 5^2) does not allow for all exponents to be even. Similarly, for a perfect cube, the prime factorization requires all exponents to be multiples of three, which is also not the case for 200.
perfect squere is 2
Because they are square/cube of an integer.
When ( x ) is a perfect square, it can be expressed as ( x = n^2 ) for some integer ( n ). The cube of ( x ) is then ( x^3 = (n^2)^3 = n^6 ). Since ( n^6 ) is also a perfect square (as ( n^6 = (n^3)^2 )), it follows that the cube of any perfect square is itself a perfect square. Thus, when ( x ) is a perfect square, ( x^3 ) is also a perfect square.
There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.
It is both because 1,000,000 is a perfect cube and a perfect square number
200 is neither a perfect square nor a perfect cube. A perfect square is an integer that can be expressed as the square of another integer, and the prime factorization of 200 (2^3 × 5^2) does not allow for all exponents to be even. Similarly, for a perfect cube, the prime factorization requires all exponents to be multiples of three, which is also not the case for 200.
an integer
64. 4x4x4 and 8x8
46656 is the square of 216 and the cube of 36 2^6 x 3^6 is the square of a cube and the cube of a square.
The square root of a perfect square and the cube root of a perfect cube is always an integer. A perfect square is a number multiplied by itself. A perfect cube is a number multiplied by itself twice. Example: 3 x 3 is 9, the square of 3 3 x 3 x 3 is 27, the cube of 3
64 is both a perfect square and a perfect cube. It is a perfect square because (8 \times 8 = 64) and a perfect cube because (4 \times 4 \times 4 = 64).
324 is a perfect square of 18. But it's not a perfect cube.