Example 10 - Chapter 5 Class 8 Squares and Square Roots

Last updated at April 16, 2024 by Teachoo

Transcript

Example 10 Find the least number that must be subtracted from 5607 so as to get a perfect square. Also find the square root of the perfect square. Finding square root of 5607 by long division
Finding square root of 5607 by long division
Here,
Remainder = 131
Since remainder is not 0,
So, 5607 is not a perfect square
We need to find
the least number that must be subtracted from 5607 so as to get a perfect square
Thus, we subtract 131 (remainder) from 5607 to get a perfect square.
∴ Perfect square = 5607 − 131
Perfect square = 5476
Also,
If we do long division with 5476
We get 74 as square root
∴ Square root of 5476 = 74

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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