Question

"square of a number is an even number"
Is this a statement?? (Mathematical reasoning)​

Answer 1

Answer:

No.

Step-by-step explanation:

($n$ is an odd number)

• $2n$ is an even number.
• $2n-1$ is an odd number.

$(2n)^2=4n^2$

Square of $2n$ has 2 as a factor. (Even number)

$(2n-1)^2=4n^2-4n+1=2(2n^2-2n)+1$

Square of $2n-1$ is an odd number.

∴Not true.