find square root of 3084 by long division method
Answers
Answer:–
Set up 3084 in pairs of two digits from right to left and attach one set of 00 because we want one decimal:
30 84 00
Starting with the first set: the largest perfect square less than or equal to 30 is 25, and the square root of 25 is 5. Therefore, put 5 on top and 25 at the bottom like this:
5
30 84 00
25
Calculate 30 minus 25 and put the difference below. Then move down the next set of numbers.
5
30 84 00
25
5 84
Double the number in green on top: 5 × 2 = 10. Then, use 10 and the bottom number to make this problem:
10? × ? ≤ 584
The question marks are "blank" and the same "blank". With trial and error, we found the largest number "blank" can be is 5. Replace the question marks in the problem with 5 to get:
105 × 5 = 525.
Now, enter 5 on top, and 525 at the bottom:
5 5
30 84 00
25
5 84
5 25
Step 5)
Calculate 584 minus 525 and put the difference below. Then move down the next set of numbers.
5 5
30 84 00
25
5 84
5 25
0 59 00
Double the number in green on top: 55 × 2 = 110. Then, use 110 and the bottom number to make this problem:
110? × ? ≤ 5900
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:
5 5 5
30 84 00
25
5 84
5 25
0 59 00