Square root of 7912 by long division method
Answers
Answer:
√7912 ≈ 88.9
Step-by-step explanation:
How to find the square root of 7912 by long division method
Step 1)
Set up 7912 in pairs of two digits from right to left and attach one set of 00 because we want one decimal:
79 12 00
Step 2)
Starting with the first set: the largest perfect square less than or equal to 79 is 64, and the square root of 64 is 8. Therefore, put 8 on top and 64 at the bottom like this:
8
79 12 00
64
Step 3)
Calculate 79 minus 64 and put the difference below. Then move down the next set of numbers.
8
79 12 00
64
15 12
Step 4)
Double the number in green on top: 8 × 2 = 16. Then, use 16 and the bottom number to make this problem:
16? × ? ≤ 1512
The question marks are "blank" and the same "blank". With trial and error, we found the largest number "blank" can be is 8. Replace the question marks in the problem with 8 to get:
168 × 8 = 1344.
Now, enter 8 on top, and 1344 at the bottom:
8 8
79 12 00
64
15 12
13 44
Step 5)
Calculate 1512 minus 1344 and put the difference below. Then move down the next set of numbers.
8 8
79 12 00
64
15 12
13 44
1 68 00
Step 6)
Double the number in green on top: 88 × 2 = 176. Then, use 176 and the bottom number to make this problem:
176? × ? ≤ 16800
The question marks are "blank" and the same "blank". With trial and error, we found the largest number "blank" can be is 9. Now, enter 9 on top:
8 8. 9
79 12 00
64
15 12
13 44
1 68 00
That's it! The answer is on top. The square root of 7912 with one digit decimal accuracy is 88.9. 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.