Question

If n is a perfect square then the next perfect square greater than n is

• A. $n^2+1$
• B. $n^2+n$
• C. $n+2\sqrt{n}+1$
• D. 2n + 1

Answer 1

The correct option is C $n+2\sqrt{n}+1$

Let $n=n^2$
The next perfect square after n will be square of $n+1$
${(n+1)}^2=n^2+2n+1=n+2\sqrt{n}+1$