Question

There are _____ non-square numbers between 65^2 & 66^2.

(a) 130

(b) 65

(c) 131

(d) 129

The 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 1

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.