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Example 12 - Chapter 5 Class 8 Squares and Square Roots
Last updated at August 4, 2026 by Teachoo
Least number added 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
- Least number subtracted to get a perfect square
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Least number added to get a perfect square
- Finding square root by division method - Decimals
- Statement Questions
Transcript
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
