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Q: What is the smallest integer greater than 1 that is both a perfect square and perfect cube?

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16

A perfect square is a square of an integer (a whole number).

The smallest integer is 11 but there is no smallest number! 0.11 is a smaller number and will give a perfect square. 0.0011 is smaller still, and 0.000011 even smaller. That sequence is endless!

63= 9* 7. 9 is already a perfect square, so mulitiply by 7. 7 is your answer.

yes..always a perfect square A perfect square is the product of an integer by itself. If you multiply a perfect square x² by another perfect square y² you get x²y² = x·x·y·y = x·y·x·y = (x·y)² which is a perfect square. Note that the product of two integers will also be an integer so x·y must be an integer because if x² and y² are perfect squares x must be an integer and y must be an integer and x·y is therefore a product of 2 integers.

Related questions

The integer is 26

The smallest perfect square is 121.

6.

16

Yes it is.Since the square of an integer is called a perfect square, then the square root of a perfect square must be an integer.

A perfect square is a square of an integer (a whole number).

64 = 4 cubed and 8 squared.

Find the square root of the number.Take the integer part of the answer.Square the integer part.Subtract this square from the original number.

The smallest integer is 2.There is no smallest number. Dividing 1152 by any number of the form x = 1/(2k2) where k is an integer will result in a perfect square. Since there is no limit to how large k can be, there is no limit to how small x can be.

The smallest integer is 11 but there is no smallest number! 0.11 is a smaller number and will give a perfect square. 0.0011 is smaller still, and 0.000011 even smaller. That sequence is endless!

an integer

Yes, a perfect square is a number that has an integer square root.

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