Maths-

General

Easy

Question

# Find a counterexample to show that the following conjecture is false. Conjecture: The square of any integer is always greater than the integer.

Hint:

### Take an example and check.

## The correct answer is: Thus we get that 0 as an integer to disprove the conjecture.

### Complete step by step solution:

Here take the integer x = 0

On squaring, we get

Here, 0 is never greater than 0.

Thus we get that 0 as an integer to disprove the conjecture.

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