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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 else can I help you with?
What is the perfect cubes for number 7?
7 cubed is 343
Can a perfect number be odd?
If by 'perfect number' you mean 'perfect SQUARE', then yes. 49 is an odd number and a perfect square.
How do you determine that 72 is not a square number?
You take the square root of the number. If it is a perfect square, this will be a whole number. If it is not, it isn't a perfect square.
Is the number 125 a square number?
Well, technically, it is the square of 11.18033989...but it is not a perfect square(a perfect square is the square of a whole number. 1,4,9,16,25,36,49,64,81,100,121,144,169,196,225,256, etc.)
What are the 2 main types of roots?
The two main roots in math are square roots and cubed roots. The square root is what number squared is your original number. For example the square root of 25 is 5 because 5 x 5 is 25. For cubed roots it is what numbered cubed is your original number.
Is 125 a perfect square-?
No because its a cubed number 53 = 125No
Is 65 a squared or cubed number?
It it neither a perfect square nor a perfect cube.
What is it called when a number has a whole number square root?
Then the number is called a "perfect square".Then the number is called a "perfect square".Then the number is called a "perfect square".Then the number is called a "perfect square".
How do you check if a number is a perfect square?
For a number to be a perfect square, the number's square root has to be a whole number. 9 is a perfect square because its square root is a whole number, 3. If the square root of the number is a decimal, then it is not a perfect square. For example, 13 does not divide evenly so it not a perfect square.
What is the perfect cubes for number 7?
7 cubed is 343
Can a perfect number be odd?
If by 'perfect number' you mean 'perfect SQUARE', then yes. 49 is an odd number and a perfect square.
What number is both a square number and a cube number 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.There is not a number that is a perfect square and perfect cube between 1 and 25.
Is the number a perfect square?
20 is a not perfect square.
How do you determine that 72 is not a square number?
You take the square root of the number. If it is a perfect square, this will be a whole number. If it is not, it isn't a perfect square.
Why is a perfect square the square of a whole number?
It is the definition of a perfect square.
Is the number 125 a square number?
Well, technically, it is the square of 11.18033989...but it is not a perfect square(a perfect square is the square of a whole number. 1,4,9,16,25,36,49,64,81,100,121,144,169,196,225,256, etc.)
Is the number 40 a square number?
It is a square number but not a perfect square number.
