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Example 11 - Chapter 5 Class 8 Squares and Square Roots
Last updated at July 29, 2026 by Teachoo
Least number subtracted to get a perfect square
Chapter 5 Class 8 Squares and Square Roots
Concept wise
- Square numbers
- Properties of square numbers
- Sum of consecutive odd numbers
- Numbers between square numbers
- Pattern Solving
- Finding square of large numbers
- Pythagorean triplets
- Square root
- Finding Square root through repeated subtraction
- Finding Square root through prime factorisation
- Checking if perfect square by prime factorisation
- Smallest number multiplied to get perfect square
- Smallest number divided to get perfect square
- Smallest square number divisible by numbers
- Finding number of digits in square root (without calculation)
- Finding square root by division method - Integers
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Least number subtracted to get a perfect square
- Least number added to get a perfect square
- Finding square root by division method - Decimals
- Statement Questions
Transcript
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
