Find The Square Root Of 121 By The Method Of Repeated Subtraction

The number of steps obtained to get the result 0 is the square root of the given number. Square root by repeated subtraction. We will use this fact to find the square root of a number by repeated subtraction.

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Every natural number squared can be written as the sum of consecutive odd natural numbers starting from zero.

Find the square root of 121 by the method of repeated subtraction.

Let us study how to find the square root of 121 by repeated subtraction method. Based on the fact mentioned above repetitive subtraction of odd numbers starting from 1 until n becomes 0 needs to be performed. 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. We know that the sum of the first n odd natural numbers is n 2.

View answer for each of the following find the least number that must be added so that the resulting number is a perfect square. To find the square root of sqrt 121 by repeated subtraction we will subtract successive odd numbers starting from 1 from 121. Find square root of 16 by repeated subtraction method. There are several methods for the same.

Ex 6 3 3 find the square roots of 100 and 169 by the method of repeated subtraction. The count of odd numbers used in this process will give the square root of the number n. 15 3 12 step 3. In this article we will learn how to find the square root of a number through repeated subtraction.

Find the square root of 1 0 0 and 1 6 9 by the method of repeated subtraction. 16 1 15 step 2. Therefore 4 is the square root of 16. Finding square root using repeated subtraction method linkedin profile.

Square root of 121 by repeated subtraction. The number of steps to reach zero is the square root. Square root of 100. Devika has a square piece of cloth of area 9 m 2 and she wants to make 16 square shaped scarves of equal size out of it.

12 5 7 step 4. Example 1 find the square root of 144 by the subtraction method. Sum of the first n odd natural numbers is equal to n 2. What should possibly be the length of the side of the scarf that can be.

7 7 0 as you can see that given number 16 was repeatedly subtracted by successive odd numbers starting from 1 and we get zero in forth step. So for finding square root we start subtraction from 1 and continue until it reaches zero.

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