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Ex 5.4, 5 (i) - Chapter 5 Class 8 Squares and Square Roots
Last updated at April 16, 2024 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
Ex 5.4, 5 Find the least number which must be added to each of the following numbers so as to get a perfect square. Also find the square root of the perfect square so obtained. (i) 525 Here, Remainder = 41 Since remainder is not 0, So, 525 is not a perfect square We need to find the least number that must be added to 525 so as to get a perfect square Now, Thus, we add 232 – 525 to the number ∴ Number to added = 232 − 525 = 529 – 525 = 4 Thus, Perfect square = 525 + 4 Let’s check Thus, we add 4 to 525 to get a perfect square. Perfect square = 529 & Square root of 529 = 23
