Question

what is the root of 525​

Answer 1

THE ANSWER IS::::::::::::::::::::::::::::::

22.9128784748

Step-by-step explanation:

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Answer 2

Answer:

22.9128 or 5√21

Step-by-step explanation:

Step 1)

Set up 525 in pairs of two digits from right to left and attach one set of 00 because we want one decimal:

5 25 00

Step 2)

Starting with the first set: the largest perfect square less than or equal to 5 is 4, and the square root of 4 is 2. Therefore, put 2 on top and 4 at the bottom like this:

2

5 25 00

4

Step 3)

Calculate 5 minus 4 and put the difference below. Then move down the next set of numbers.

2

5 25 00

4

1 25

Step 4)

Double the number in green on top: 2 × 2 = 4. Then, use 4 and the bottom number to make this problem:

4? × ? ≤ 125

The question marks are "blank" and the same "blank". With trial and error, we found the largest number "blank" can be is 2. Replace the question marks in the problem with 2 to get:

42 × 2 = 84.

Now, enter 2 on top, and 84 at the bottom:

2 2

5 25 00

4

1 25

0 84

Step 5)

Calculate 125 minus 84 and put the difference below. Then move down the next set of numbers.

2 2

5 25 00

4

1 25

0 84

0 41 00

Step 6)

Double the number in green on top: 22 × 2 = 44. Then, use 44 and the bottom number to make this problem:

44? × ? ≤ 4100

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:

2 2 9

5 25 00

4

1 25

0 84

0 41 00

That's it! The answer is on top. The square root of 525 with one digit decimal accuracy is 22.9. 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.

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