Non-quare Numbers
lie between 421² and 426²
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Answer:
Step-by-step explain
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.
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