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Example 13 - Chapter 5 Class 8 Squares and Square Roots
Last updated at Dec. 16, 2024 by Teachoo
Finding square root by division method - Decimals
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
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Finding square root by division method - Decimals
- Statement Questions
Transcript
Example 13 Find the square root of 12.25.Rough 64 × 4 = 256 65 × 5 = 325 Therefore, Square root of 12.25 = 3.5 Individual Steps are explained Step 1: Write the number We make pairs from right. For numbers before decimal point, we start from right and make pairs So, 12 is a pair For numbers after decimal point, we start from the right of decimal point and make pairs So, 25 is a pair Step 2: Now we find that number whose square is less than or equal to 12. 2 × 2 = 4 3 × 3 = 9 4 × 4 = 16 Since 16 > 12, we use 3 × 3. So writing 3 on left side & top. & 9 below 12 Now we find remainder, 12 − 9 = 3 Step 3: Since next is decimal point We put a decimal point on top Step 4 Pair 25 comes down So, our number is now 325 Step 5 We multiply the number above by 2 & add a blank after it So, we write 3 × 2 = 6 6 _ Step 6 Find a number which is less than Or equal to 325 63 × 3 = 189 64 × 4 = 256 65 × 5 = 325 Since 65 × 5 = 325. We use that Thus, Square root of 12.25 = 3.5
