What is the rule to find the number of numbers between
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What is the rule to find the number of numbers between perfect squares? [2 MARKS]
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SOLUTION
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Condition : 1 Mark
In general we can say that there are 2n non-perfect square numbers between the squares of the numbers n and (n + 1).
For example consider,
n=4 and n+1=5
42=16 and 52=25
The numbers between 16 and 25 are 17,18,19,20,21,22,23,24. i.e., 8 numbers
Now, 8=2×4
⇒ There are 2n non-perfect square numbers between the squares of the numbers n and (n + 1).