Question

# Make and test a conjecture about the square of even numbers.

Hint:

### Take general form and check.

## The correct answer is: So we get that the square of an even number is always even

### Complete step by step solution:

The square of an even number is always an even number.

We know that the even number is always of the form 2n

Let some N = 2n

On squaring both the sides, we get

On taking common from RHS part, we get

So we get that the square of an even number is always even.

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