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Example 4 - Chapter 5 Class 8 Squares and Square Roots
Last updated at Oct. 10, 2024 by Teachoo
Finding Square root through prime factorisation
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
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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
- Least number added to get a perfect square
- Finding square root by division method - Decimals
- Statement Questions
Transcript
Example 4 Find the square root of 6400. We use prime factorization to find square root We use prime factorization to find square root Thus, 6400 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 6400 = 22 × 22 × 22 × 22 × 52 Therefore, Square root of 6400 = 2 × 2 × 2 × 2 × 5 = 4 × 4 × 5 = 4 × 20 = 80
