Question

There are ________ number of non-perfect square numbers lies between square on n and n+1.

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.

Answer 2

Answer:

There are 2n numbers of non perfect square number lies between square on n and n + 1.