find the square root of 196 by repeated subtraction method Finding Square Root Through Repeated Subtraction Example 1 Find the square root of 81 using the repeated subtraction method Solution To find 81 The steps to find the square root of 81 is 81 1 80 80 3 77 77 5 72 72 7 65 65 9 56 56 11 45 45 13 32 32 15 17 17 17 0
Square root of 196 14 GIVEN Perfect square 196 Method Repeated Subtraction Method TO FIND Square root of 196 SOLUTION As we know In the repeated subtraction method we have to subtract successive odd numbers from the square number until we get zero as the difference Example 3 Sean wants to find out the square root of 196 using the repeated subtraction method Can you assist Sean Solution 196 1 195 195 3 192 192 5 187 187 7 180 180 9 171 171 11 160 160 13 147 147 15 132 132 17 115
find the square root of 196 by repeated subtraction method
find the square root of 196 by repeated subtraction method
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Square Root of 196 by Repeated Subtraction Method In the repeated subtraction method we have to repeatedly subtract the given number by consecutive odd numbers until we get the result as zero The n th odd number after which the number is reduced to zero is the square root of the given number To find the square root of sqrt 121 by repeated subtraction we will subtract successive odd numbers starting from 1 from 121 The number of steps obtained to get the result 0 is the square root of the given number To find square root of 121 follow the steps given below Step1 121 1 120 Step 2 120 3 117
Babylonian Method and Binary Search Approach Refer to Square root of an integer for the approaches based on Babylonian Method and Binary Search Repeated Subtraction Approach Follow the steps below to solve the problem Sum of the first N odd natural numbers is equal to N 2 Based on the fact mentioned above repetitive Learn how to find the square root by repeated subtraction methodFor more videos of chapter Squares and Square Roots Playlist youtube playlist
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Hence 196 14 Repeated subtraction method Using the repeated subtraction method the square root of the number can be easily solved but consumes time Hence the prime factorization and the long division method are widely used to find the square root of the number One of the methods to find the square root of a number is by repeated subtraction Let us look at an example square root of 169 Start from 169 and keep subtracting the successive odd numbers till we obtain zero The total numbers we subtract is the square root of 169 169 1 168 168 3 165 165 5 160 160 7 153 153 9 144
Therefore you can find square root of a number by repeatedly subtracting successive odd numbers starting from 1 from the given square number till you get zero Example 1 Find square root of 9 by repeated subtraction method Solution This proceeds as Step 1 9 1 8 Step 2 8 3 5 Teachyousmart explains the square roots and finding square roots using repeated subtraction method with the help of an activity cbse ncert squaresandsqu
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find the square root of 196 by repeated subtraction method - 1 Start with the number 196 Step 2 15 2 Subtract 1 from 196 which gives 195 Step 3 15 3 Subtract 3 from 195 which gives 192 Step 4 15