Question

find the square 841 by long long division method​

Answer 1

Answer:

The square root of 841 is 29.

Step-by-step explanation:

Step 1)

Set up 841 in pairs of two digits from right to left:

08 41

Step 2)

Starting with the first set: the largest perfect square less than or equal to 8 is 4, and the square root of 4 is 2. Therefore, put 2 on top and 4 at the bottom like this:

2  

08 41

4    

Step 3)

Calculate 8 minus 4 and put the difference below. Then move down the next set of numbers.

2    

08 41

4    

4 41  

Step 4)

Double the number in green on top: 2 × 2 = 4. Then, use 4 and the bottom number to make this problem:

4? × ? ≤ 441

The question marks are "blank" and the same "blank". With trial and error, we found the largest number "blank" can be is 9. Replace the question marks in the problem with 9 to get:

49 × 9 = 441.

Now, enter 9 on top, and 441 at the bottom:

2 9  

08 41

4    

4 41  

4 41  

The difference between the bottom two numbers is zero, therefore, you are done! The answer is the green numbers on top. Once again, the square root of 841 is 29.