dafilreuben6
Answered

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solve which 2 digit number is one more than a square and one less than cube?​

Sagot :

facundo3141592

The 2-digit number is 26:

26 - 1 = 25 is a square number.

26 + 1 = 27 is a cube number.

How to find the number?

Here we want to find a 2-digit number N, such that:

  • N + 1 is a cube number.
  • N - 1 is a square number.

To do that, we can just create a list of cubic and square numbers of 2 digits, these are:

Square numbers:

4*4 = 16

5*5 = 25

6*6 = 36

etc...

Cube numbers:

3*3*3 = 27

4*4*4 = 64

etc...

Now, we can see that 25 is a square number and 27 is a cube number, then our 2-digit number can be 26.

Because:

26 - 1 = 25 is a square number.

26 + 1 = 27 is a cube number.

If you want to learn more about square numbers;

https://brainly.com/question/21694652

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