Question

find the square root of 11025 by division method

Answer 1

the square root of 11025is 105

Answer 2

Answer:

105

Step-by-step explanation:

Given:- The given number is 11025

To Find:- Square root of 11025 using Division method.

Solution:-

Using the following steps we can find the square root of 11025.

Step 1:- We write the number 11025 and make pairs of 2-digits from the right. Here, 1 is left alone.

Step 2:- Then think of a number with which we can divide 1 such that we get the remainder as 0 and quotient = 1. That number is 1.

Step 3:- Bring down the next pair of numbers which is 10. Now, the new dividend is 10.

Step 4:- Now according to square root rules, we need to double the quotient to get the next divisor.

Step 5:- Think of a number that we can pair up with 2 so that it becomes a two-digit new divisor.

Step 6:- If the number 0 is paired up with 2 it makes a 2 digit number 20. On multiplying 20 by 0 we get 0, which is less than 10.

Step 7:- On subtracting 10 - 0, we get the remainder = 10.

Step 8:- Now we place a 0 after 1 in the quotient.

Step 9:- Now we repeat the process in step 3 and bring down the next pair of numbers that is 25. Now the new dividend is 1025.

Step 10:- We will now think of a number to place beside 20 which will become our new divisor.

Step 11:- If 5 is paired with 20 then it makes the number 205 and on multiplying 205 by 5 we get 1025, which is equal to our dividend.

Now, the quotient becomes 105 which is the value of $\sqrt{11025}$.

Therefore, the square root of 11025 is 105.

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