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A perfect square number is a number that can be expressed as the product of two same common integers. For instance, 16 is a perfect square since it is expressed as 4 x 4. 14 is not the perfect square since it can't be expressed as two common integers. The factors of 14 are 2 and 7.
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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.
What number can be increased or decreased by 10 and you will still have a square number?
"Still" implies that the original number is a square number. In that case, the answer is as follows: There is no number such that it is a perfect sqiuare and that the number increased (or decreased) by 10 is also a perfect square. And if you do not limit it to perfect square then every non-negative number is a square with the number that is 10 more also being a square.
Is 1234 a square number?
Try taking the square root. If you get a whole number, then it is.
Can a prime number be a perfect square?
No.
Will the square root of a prime number be rational or irrational?
Nice question! The square root of (any number that isn't a perfect square) is irrational. No prime number is a perfect square. So the square root of any prime number is irrational.
