Example 11 - Chapter 5 Class 8 Squares and Square Roots

Last updated at May 26, 2023 by Teachoo

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Example 11 Find the greatest 4-digit number which is a perfect square.
Greatest 4-digit number =
Finding Square root of 9999 by Long Division
Here,
Remainder = 198
Since remainder is not 0,
So, 9999 is not a perfect square
We need to find
the greatest 4-digit number which is a perfect square
So, we need to find a number smaller than 9999, as numbers bigger than 9999 are 5 digit numbers
Thus, we subtract 198 (remainder) from 9999 to get a perfect square.
∴ Perfect square = 9999 − 198
Perfect square = 9801
Thus, 9801 is the required number

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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