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It depends on what you mean by a number. If n is a positive integer (except for 1), then n^2 is greater than n. If n = 0 or 1, then n and n^2 are equal.

If n = 1/2, then n is greater than its square.

If n is negative, then n is always less than its square.

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Q: Is it true that the square of a number is greater than the number itself?
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Related questions

What is a square number greater then 100?

Take any number greater than 10. Multiply it by itself. The answer will be a square number greater than 100 - and there is an infinitey of such numbers.


What is a number greater than itself but lower than itself?

None. No number can be greater than itself.


Is the square of a number always bigger than the number itself?

-- When the number itself is bigger than ' 1 ' . . . yes. Always.-- When the number itself is less than ' 1 ' . . . . no. Never.-- When the number itself is ' 1 ', its square is also ' 1 ', so they're equal.


What square number will give you a smaller answer then itself?

If you square a number less than one, but greater than zero, the result will be smaller than the original number. For example, 0.92 = 0.81.


Can a multiple of a number be greater than the number itself?

If it's a whole-number "multiple" and the number itself is positive,then the multiple is always greater than the number itself.


What square number is greater than 100?

The square of any number greater than 10 (or less than -10) will be greater than 100.


What is a square number greater than 400?

A square number is an integer which is the square of some smaller integer. For example, 144 is square because 144 = 12*12 = 12^2 400 is a square number because 400 = 20^2. Anything bigger than 20, when multiplied by itself, will make a square greater than 400. How about 21?


Does the square root of 2 or 1.5 have the greater value?

Since the square root of a number is the "number times itself that equals the original number," it makes sense that the larger the original number, then the larger the square root. The value of the square root of 2 will be greater than the value of the square root of 1.5.


Is the square root of a number greater than the square of the number?

Yes, if the number is less than '1'.Just the opposite, if the number is greater than '1'.


Is there a prime factor greater than the square root of an integer?

No there is not. If you are looking for prime factors of a number and you get to the square root of that number you can stop. Yes, there is. If an integer is not itself a prime, then one of its factors will be less or equal to its square root and the "co-factor" will be greater than or equal to the square root. But both cannot be greater than the square root so, when searching for factors, you can stop when you reach the square root.


How many perfect square numbers are less than 1694 and greater than 5929?

There are 41 square numbers less than 1694 and an infinite number greater than 5929. There are 35 square numbers between 1694 and 5929, 36 if you count 5929 itself.


Is the square of a number is always greater than the number?

no