Q7 of 85 Page 138

Find the least number which must be added to 6412 to make it a perfect square?

Given, a number as 6412.

Need to find out the least number which must be added to make it a perfect square.


Now, using by division method we get



This shows that 6412 lies between 802 and 812


⇒ 802 < 6412 < 812


∴ the number to be added is 812 – 6412


= 6561 – 6412


= 149


Hence, 149 must be added to make the given number as perfect square.


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