square root of 3791 step by step pls
Answers
Answer:
square root of 3791 = 61.571097115
Answer:
615
Step-by-step explanation:
How to find the square root of 3791 by long division method
Here we will show you how to calculate the square root of 3791 using the long division method with one decimal place accuracy. This is the lost art of how they calculated the square root of 3791 by hand before modern technology was invented.
Step 1)
Set up 3791 in pairs of two digits from right to left and attach one set of 00 because we want one decimal:
379100
Step 2)
Starting with the first set: the largest perfect square less than or equal to 37 is 36, and the square root of 36 is 6. Therefore, put 6 on top and 36 at the bottom like this:
6
-------------
379100
36
--------------
Step 3)
Calculate 37 minus 36 and put the difference below. Then move down the next set of numbers.
6
----------
379100
36
----------
191
Step 4)
Double the number in green on top: 6 × 2 = 12. Then, use 12 and the bottom number to make this problem:
12? × ? ≤ 191
The question marks are "blank" and the same "blank". With trial and error, we found the largest number "blank" can be is 1. Replace the question marks in the problem with 1 to get:
121 × 1 = 121.
Now, enter 1 on top, and 121 at the bottom:
6 1
----------
379100
36
------------
191
121
Step 5)
Calculate 191 minus 121 and put the difference below. Then move down the next set of numbers.
6 1
---------
379100
36
------------
191
121
-------------
07000
Step 6)
Double the number in green on top: 61 × 2 = 122. Then, use 122 and the bottom number to make this problem:
122? × ? ≤ 7000
The question marks are "blank" and the same "blank". With trial and error, we found the largest number "blank" can be is 5. Now, enter 5 on top:
6 1 5
----------
379100
36
------------
191
121
-----------
07000
That's it! The answer is on top. The square root of 3791 with one digit decimal accuracy is 61.5. Did you notice that the last two steps repeat the previous two steps. You can add decimals by simply adding more sets of 00 and repeating the last two steps over and over.
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Hope it helps!(◕ᴗ◕✿)