Repeated Subtraction Method For Square Root

16 May, 2021

Step II 168 - 3 165. Repeated Subtraction This method involves successful and repeated subtraction of odd numbers such as 1 3 5 and 7 from the number until zero is reached.

Ex 6 3 3 Find Square Roots Of 100 And 169 By Repeated Subtraction

The square root of 144 is 12 as we have performed repeated subtraction 12 times and after the 12 the subtraction the remainder is zero.

Repeated subtraction method for square root. Square Root of 1156 by Repeated Subtraction Method. The square of 441 can be evaluated using the prime factorization method long division method or the repeated subtraction method. The number of times you subtract is the square root of the given number.

Find the Square Roots of 121 and 169 by the Method of Repeated Subtraction. Initialize start 0 and end number. Add the number of times subtraction is done that is the square root of the given number.

Square root of 169 by method of subtraction. 63 - 19 44. However it works only for perfect square.

The square root of 169 can be obtained by the method of repeated subtraction as follows. Class 8 Maths Squares and Square Roots. Square root of 100.

Since the last difference is zero 144 is a perfect square. Find square root of 9 by repeated subtraction method. Step VI 144 - 11 133.

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47. Finding Square Root Repeated Subtraction method. Refer to Square root of an integer for the approaches based on Babylonian Method and Binary Search.

The square root of number N lies in range 0 squareRoot N. Step V 153 - 9 144. As you can see that given number 9 was repeatedly subtracted by successive odd numbers starting from 1 and we get zero in third step.

The square root of 256 by repeated subtraction method Get the answers you need now. Step I 169 - 1 168. 108 - 13 95.

The number of steps obtained to get the result 0 is the square root of the given number. 112 7 105. Square Root of 441 by Prime Factorization Method.

Josephrani77 josephrani77 09012020 Math Secondary School The square root of 256 by repeated subtraction method 1 See answer josephrani77 is waiting for your help. Therefore 3 is the square root of 9. The square root of 1156 can be calculated using different methods such as prime factorization or the repeated subtraction method.

To find square root of 121 follow the steps given below. 105 9 96. 1156 is the sum of first 34 odd natural numbers.

ROOT OF 64 BY REPEATED SUBTRACTION METHOD. 1 3 5 7 until the answer comes 0 at last 64 - 1 63 63 - 3 60 60 - 5 55 55 - 7 48 48 - 9 39 39 - 11 28 28 - 13 15 15 - 15 0 now count how many times have we subtracted it. The sum of n consecutive odd numbers n 2.

I 169 1 168 ii 168 3 165 iii 165 5 160 iv 160 7 153 v 153 9 144 vi 144 11 133. 441 3 3 7 7. This method is easy but long for large numbers.

Step VII 133 - 13 120. Babylonian Method and Binary Search Approach. This approach is used to find the square root of the given number N with precision upto 5 decimal places.

You will require subtracting the consecutive odd numbers from the number for which we are calculating the square root till you reach 0. Ex 63 3 Find the square roots of 100 and 169 by the method of repeated subtraction. â Prev Question Next Question â The square root is just a reverse application of square it means when a number multiplied 2-times by itself then it will result in the square and the root number of this result is called square root.

80 - 17 63. 44 - 21 23. Therefore the square root of 16 is 4.

We will use this fact to find the square root of a number by repeated subtraction. 117 5 112. 8 - 3 5.

Then the process of finding the square root of 16 using the repeated subtraction method is given as follows - 16 - 1 15 15 - 3 12 12 - 5 7 7 - 7 0 So the number of subtractions is 4. Say you are required to find the square root of 121 that is 121. 0 is obtained at the 10th step.

9 - 1 8. Solution here we just need to subtract the given number with odd numbers ie. The square of the number is equal to the number or frequency of subtraction performed on the number.

Follow the steps below to solve the problem. 120 3 117. 34 2 1156.

23 - 23 0. Step III 165 - 5 160. 5 - 5 0.

Step IX 105 - 17 88. The Repeated Subtraction Method of Square Root is very simple. To find the square root of a given number we subtract consecutive odd numbers starting from 1 from it till we get 0.

The following steps can be followed to find the square root of 441 using prime factorization. 121 1 120. Determine the prime factorization of 441.

Hence 10 is the square root of 100. 100 1 99 99 3 96 96 5 91 91 7 84 84 9 75 75 11 64 64 13 51 51 15 36 36 17 19 19 19 0 To find the square root we subtract successive odd numbers from the number till we obtain 0. To find the square root of 121 by repeated subtraction we will subtract successive odd numbers starting from 1 from 121.

Add your answer and earn points. Let us take an example to learn this method. 95 - 15 80.

Step X 88 - 19 69. Step VIII 120 - 15 105. Step IV 160 - 7 153.

Square Root Of A Number By Repeated Subtraction Solved Examples