what is the square root of 6236
Answers
Answer:
Step-by-step explanation:
Step 1)
Set up 6236 in pairs of two digits from right to left and attach one set of 00 because we want one decimal:
62 36 00
Step 2)
Starting with the first set: the largest perfect square less than or equal to 62 is 49, and the square root of 49 is 7. Therefore, put 7 on top and 49 at the bottom like this:
7
62 36 00
49
Step 3)
Calculate 62 minus 49 and put the difference below. Then move down the next set of numbers.
7
62 36 00
49
13 36
Step 4)
Double the number in green on top: 7 × 2 = 14. Then, use 14 and the bottom number to make this problem:
14? × ? ≤ 1336
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:
148 × 8 = 1184.
Now, enter 8 on top, and 1184 at the bottom:
7 8
62 36 00
49
13 36
11 84
Step 5)
Calculate 1336 minus 1184 and put the difference below. Then move down the next set of numbers.
7 8
62 36 00
49
13 36
11 84
1 52 00
Step 6)
Double the number in green on top: 78 × 2 = 156. Then, use 156 and the bottom number to make this problem:
156? × ? ≤ 15200
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:
7 8 9
62 36 00
49
13 36
11 84
1 52 00
That's it! The answer is on top. The square root of 6236 with one digit decimal accuracy is 78.9. 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.
Square root of 6236 is 78.9683480896
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