Question

How many non perfect numbers are there between 6 square and 7 square

Answer 1

Answer:

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Both n² 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 n²

and (n+1)²

are

=(n+1)² −n² −1

=n²+2n+1−n²−1

=2n

⇒ There are 2n non-perfect square numbers.

And n=6

So there are 12 non- perfect square numbers

Answer 2

Both n² 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 n² and (n+1)² are

=(n+1)² −n² −1

=n²+2n+1−n²−1

=2n

• There are 2n non-perfect square numbers.

And n=6

So there are 12 non- perfect square numbers

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