Question

Three digit number which is 2 more than a perfect square and 2 less than a perfect cube

Answer 1

The answer is 123

Spuare of 11 = 121
And cube of 5 = 125

121 + 2 = 123
And 125 - 2 = 123

So, the answer is 123

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Answer 2

Answer:

The three digit number is 123.

Step-by-step explanation:

Given : Three digit number which is 2 more than a perfect square and 2 less than a perfect cube.

To find : The three digit number.

Solution :

The three digit number is 123

Now, we verify the number,

Three digit number which is 2 more than a perfect square.

121+2=123

or 123-2=121 which is a square of 121

$11^2=121$

Three digit number which is 2 less than a perfect cube.

125-2=123

or 123+2=125 which is a cube of 5

$5^3=125$