Please explain this step by step, Find the square root by division method : 5820
Answers
Answer:
Step 1)
Set up 5820 in pairs of two digits from right to left and attach one set of 00 because we want one decimal:
58 20 00
Step 2)
Starting with the first set: the largest perfect square less than or equal to 58 is 49, and the square root of 49 is 7. Therefore, put 7 on top and 49 at the bottom like this:
7
58 20 00
49
Step 3)
Calculate 58 minus 49 and put the difference below. Then move down the next set of numbers.
7
58 20 00
49
9 20
Step 4)
Double the number in green on top: 7 × 2 = 14. Then, use 14 and the bottom number to make this problem:
14? × ? ≤ 920
The question marks are "blank" and the same "blank". With trial and error, we found the largest number "blank" can be is 6. Replace the question marks in the problem with 6 to get:
146 × 6 = 876.
Now, enter 6 on top, and 876 at the bottom:
7 6
58 20 00
49
9 20
8 76
Step 5)
Calculate 920 minus 876 and put the difference below. Then move down the next set of numbers.
7 6
58 20 00
49
9 20
8 76
0 44 00
Step 6)
Double the number in green on top: 76 × 2 = 152. Then, use 152 and the bottom number to make this problem:
152? × ? ≤ 4400
The question marks are "blank" and the same "blank". With trial and error, we found the largest number "blank" can be is 2. Now, enter 2 on top:
7 6 2
58 20 00
49
9 20
8 76
0 44 00
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