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Example 1 (i) - Chapter 5 Class 8 Squares and Square Roots
Last updated at May 29, 2023 by Teachoo
Finding square of large numbers
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
- Least number added to get a perfect square
- Finding square root by division method - Decimals
- Statement Questions
Transcript
Example 1 (Method 1) Find the square of the following numbers without actual multiplication. (i) 39 We know that 39 = 40 − 1 Now, 392 = (40 − 1)2 = 402 + 12 − 2 × 40 × 1 = 1600 + 1 − 80 = 1601 − 80 = 1521 Example 1 (Method 2) Find the square of the following numbers without actual multiplication. (i) 39 We know that 39 = 30 + 9 Now, 392 = (30 + 9)2 = 302 + 92 + 2 × 30 × 9 = 900 + 81 + 540 = 1521
