Find The Square Root Of 196 By Repeated Subtraction

To find square root we subtract consecutive odd numbers from number till we obtain 0 square root total numbers subtracted let s take an examplesuppose we need to find 81square root of 8181 1 8080 3 7777 5 7272 7 6565 9 5656 11 4545 13 3232 15 1717 17 0since aft.

Find the square root of 196 by repeated subtraction.

Finding the square root of a number by repeatedly subtracting successive odd numbers from the given square number till you get zero is known as repeated subtraction method. Complete the repeated subtraction to find the square root of 2 2 5. 16 1 15 step 2. Square root of 100.

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. For each of the following find the least number that must be added so that the resulting number is a perfect square. Find the square root of 6 2 5 using repeated subtraction. 1 121 1 120 2 120 3 117 3 117 5 112 4 112 7 105 5 105 9 96 6 96 11 85 7 85 13 72 8 72 15 57 9 57 17 40 10 40 19 21 11 21 21 0 total 11 step are there to reach zero.

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. So square root of 121 is 11. Square root by repeated subtraction. Find square root of 16 by repeated subtraction method.

Sum of the first n odd natural numbers is equal to n 2. Similarly for 169 we have to do so but we will not get zero in any step. First check whether the given number is a perfect square number or not. View answer for each of the following find the least number that must be added so that the resulting number is a perfect square.

12 5 7 step 4. We know that the sum of the first n odd natural numbers is n 2. Say you are required to find the square root of 121 that is 121. We will use this fact to find the square root of a number by repeated subtraction.

Let us take an example to learn this method. Based on the fact mentioned above repetitive subtraction of odd numbers starting from 1 until n becomes 0 needs to be performed. Find the square root of 1 3 3 1 using repeated subtraction. The count of odd numbers used in this process will give the square root of the number n.

Ex 6 3 3 find the square roots of 100 and 169 by the method of repeated subtraction.