You are here
Ex 5.4, 1 (i) - Chapter 5 Class 8 Squares and Square Roots
Last updated at Dec. 16, 2024 by Teachoo
Finding square root by division method - Integers
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
Ex 5.4, 1 Find the square root of each of the following numbers by Division method. (i) 2304 Thus, Square root of 2304 = 48 Let’s look at individual steps as well Individual Steps are explained Step 1: Write the number We make pairs from right. So, 04 and 23 are two pairs. Step 2: Now, we find that number whose square is less than or equal to 23. 3 × 3 = 9 4 × 4 = 16 5 × 5 = 25 Since 25 > 23, we use 4 × 4 = 16 So writing 4 on top and left side & 16 below 23 Now we find remainder, 23 − 16 = 7 Step 3 Pair 04 comes down. Step 4 We multiply the number above by 2 & add a blank after it So, we write 4 × 2 = 8 8 _ Step 5 Find a number which is less than Or equal to 704 85 × 5 =425 86 × 6 = 546 87 × 7 = 609 88 × 8 = 704 Since 88 × 8 = 704. We use that Thus, square root of 2304 =48
