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The square root of a perfect square and the cube root of a perfect cube is?
Wiki User
∙ 7y ago
an integer
Wiki User
∙ 7y ago
Wiki User
∙ 14y agoAn integer.
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What is perfect square and perfect cube?
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
Would youclassify the number 169 as a perfect cube?
No but it is a perfect square number because its square root is 13
How many dimensions does a cube root as a perfect cube have?
A cube root of a perfect cube has only one dimension. A perfect cube is a number that can be obtained by multiplying an integer by itself three times. Taking the cube root of a perfect cube will give you the original integer value, effectively reducing the dimensionality back to one.
Why are perfect square and cube perfect?
Because they are square/cube of an integer.
What is a perfect square and perfect cubed number?
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.
What is perfect square and perfect cube?
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
Is 8 a perfect square?
8 is a perfect cube; it is not a perfect square. Its square root is a fraction and the square root of a perfect square is always an integer....you're thinking of 9...
How is a perfect square and cubes root related?
They are not, other that the fact that any perfect square is a non-negative and so is also a cube root of some non-negative integer (usually much larger). But -2 is a cube root (of -8), while -8 is not a perfect square.
What are the examples of irrational numbers?
The square root of any number which is not a perfect square;The cube root of any number which is not a perfect cube;Pi, the circular constant.e, the natural logarithm base number.
Would youclassify the number 169 as a perfect cube?
No but it is a perfect square number because its square root is 13
What whole number is between 40000 and 50000 and has a perfect square and cube root?
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.
What is one of 2 equal factors of a number or expression?
A Square Root is one of the two equal factors of a number.
How do you simplify a radical?
factor the perfect square simplify the perfect root factor out the perfect cube simplify the perfect root √32 = √16 = √8◦2 = 4√2 move 8 out and simplify it to a perfect square
Is 196 perfect square or perfect cube?
196's prime numbers are (2) (2) (7) (7). For example, if you square those prime numbers you would get 14. Why? Because u need equal integers within a square root, so that you can take that integer outside the square root. With the same knowledge, we can apply ask the question whether 196 is a cube root. If it's a cube root, then it needs to have 3 same integer (ex: 3x3x3x4x4x4x; 2x2x2x7x7x7). As you can see we don't have third same integer. Also, even if it is 2x2x2x7x7, it cannot be a cube root because it is missing the third 7. So the answer is that 196 is a perfect square and not a perfect cube. Note: you cannot have a square root of a negative integer, if the question is "is -196 a perfect square or a perfect cube", then the answer is neither. Of course you can SQUARE the negative number (ex: (-2)^2=+/- 4), but you cannot mathematically square root a negative number unless your using the imaginary integer "i". I hope it answers your question and just a bit more.
How many dimensions does a cube root as a perfect cube have?
A cube root of a perfect cube has only one dimension. A perfect cube is a number that can be obtained by multiplying an integer by itself three times. Taking the cube root of a perfect cube will give you the original integer value, effectively reducing the dimensionality back to one.
Why are perfect square and cube perfect?
Because they are square/cube of an integer.
What is a perfect square and a perfect cube?
A perfect Square means a shape having 4 equal sides and the angle between two adjecent lines should be 90, But a perfect Cube means its an OBJECT with its four sides are equal dimentions. Any square has 4 equal sides and 90 degree corner angles. This is a question about number theory. A perfect square is a number whose square root is an integer (eg 9, 49 etc). Similarly a perfect cube is a number whose cube root is an integer (eg 8, 27 etc)
