Question

The square number 'n' is perfect then 2n is ____ square.​

Answer 1

Answer:

Both n

2

and (n+1)

2

are perfect square numbers and they are consecutive perfect squares.

⇒ All the numbers between them are non-perfect square.

Numbers between n

2

and (n+1)

2

are

=(n+1)

2

−n

2

−1

=n

2

+2n+1−n

2

−1

=2n

⇒ There are 2n non-perfect square numbers.