Example 12 Find the least number that must be added to 1300 so as to get a perfect square. Also find the square root of the perfect square. Finding square root of 1300 by long division
Finding square root of 1300 by long division
Here,
Remainder = 4
Since remainder is not 0,
So, 1300 is not a perfect square
We need to find
the least number that must be added to 1300 so as to get a perfect square
Now,
Thus, we add 372 – 1300 to the number
∴ Number to added = 372 − 1300
= 1369 – 1300
= 69
Thus,
Perfect square = 1300 + 69
Let’s check
Thus, we add 69 to 1300 to get a perfect square.
Perfect square = 1369
& Square root of 1369 = 37

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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