Q: When x is a perfect square what is true about the cube of x?

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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

NO!!! However '36' is a perfect 'square' 6 x 6 = 36

To find a number that is both a perfect square and a perfect cube, we must solve x2 = x3 over x ∈Z+. The only two solutions to this equation are 0 and 1, or x = {0,1}. Therefore, zero and one are the only two numbers that are both perfect squares and perfect cubes. --In easier terms: a perfect square is a number that can be "square rooted" and have no remainder. Like, 144. The square root is 12 therefore 144 is a perfect square. A perfect Cube is the same except that it must be "cubed rooted". Like 27. The cube root of this number is 3 therefore 27 is a perfect cube.

0.6667

4 because 2x2=4 and 4 x 4 x 4=64

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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

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.

NO!!! However '36' is a perfect 'square' 6 x 6 = 36

To find a number that is both a perfect square and a perfect cube, we must solve x2 = x3 over x ∈Z+. The only two solutions to this equation are 0 and 1, or x = {0,1}. Therefore, zero and one are the only two numbers that are both perfect squares and perfect cubes. --In easier terms: a perfect square is a number that can be "square rooted" and have no remainder. Like, 144. The square root is 12 therefore 144 is a perfect square. A perfect Cube is the same except that it must be "cubed rooted". Like 27. The cube root of this number is 3 therefore 27 is a perfect cube.

729 27 x 27 = 729 9 x 9 x 9 =729

0.6667

4 because 2x2=4 and 4 x 4 x 4=64

A natural number is y is called perfect square if there exists an integer x such that y=x2

A cube is any number multiplied by itself three times, eg 2 cubed = 2³ = 2×2×2 = 8; 1.5³ = 1.5×1.5×1.5 = 3.375 A perfect cube is an integer (whole number) that is the cube of an integer, eg 8 is a perfect cube as it is 2 cubed, but 9 is not a perfect cube as 9 = 2.08008382...³

Length X Width X Height Or if it's a perfect cube, just find one side and cube it.

Since 88 factors to 23 x 11, it is not a perfect square, it is not a perfect cube, etc. Since the square root of 88 is approximately 9.38, you can say that 88 is close to 9.382.

square root is 8 (8 x 8 = 64)cube root is 4 (4 x 4 x 4 = 64)