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There are _____ non-square numbers between 65^2 & 66^2.(a) 130(b) 65(c) 131(d) 129The question was asked in my homework.The above asked question is from Patterns in Squares of Numbers in chapter Squares and Square Roots of Mathematics – Class 8

Answer»

The correct answer is (c) 131

The EXPLANATION is: In these TYPES of questions we can USE the shortcut in ORDER to reach the answer quickly. We can use the formula (2n+1). When we use this formula we consider one of the numbers as n and the hence the second number is(n+1). Here n=65.

Therefore when we substitute n=65 in the formula we get,

[2×(65)+1]=131.



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