what is the square root of 1055 by division method no direct answers pls the first one to answer will marked as brainliest
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Ans 32.58
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Square Root of 1055
Square Root of 1055
Here we will define, analyze, simplify, and calculate the square root of 1055. We start off with the definition and then answer some common questions about the square root of 1055. Then, we will show you different ways of calculating the square root of 1055 with and without a computer or calculator. We have a lot of information to share, so let's get started!
Square root of 1055 definition
The square root of 1055 in mathematical form is written with the radical sign like this √1055. We call this the square root of 1055 in radical form. The square root of 1055 is a quantity (q) that when multiplied by itself will equal 1055.
√1055 = q × q = q2
Is 1055 a perfect square?
1055 is a perfect square if the square root of 1055 equals a whole number. As we have calculated further down on this page, the square root of 1055 is not a whole number.
1055 is not a perfect square.
Is the square root of 1055 rational or irrational?
The square root of 1055 is a rational number if 1055 is a perfect square. It is an irrational number if it is not a perfect square. Since 1055 is not a perfect square, it is an irrational number. This means that the answer to "the square root of 1055?" will have an infinite number of decimals. The decimals will not terminate and you cannot make it into an exact fraction.
√1055 is an irrational number
Can the square root of 1055 be simplified?
You can simplify 1055 if you can make 1055 inside the radical smaller. We call this process "to simplify a surd". The square root of 1055 cannot be simplified.
√1055 is already in its simplest radical form.
How to calculate the square root of 1055 with a calculator
The easiest and most boring way to calculate the square root of 1055 is to use your calculator! Simply type in 1055 followed by √x to get the answer. We did that with our calculator and got the following answer with 9 decimal numbers:
√1055 ≈ 32.480763538
How to calculate the square root of 1055 with a computer
If you are using a computer that has Excel or Numbers, then you can enter SQRT(1055) in a cell to get the square root of 1055. Below is the result we got with 13 decimals. We call this the square root of 1055 in decimal form.
SQRT(1055) ≈ 32.4807635378234
What is the square root of 1055 rounded?
The square root of 1055 rounded to the nearest tenth, means that you want one digit after the decimal point. The square root of 1055 rounded to the nearest hundredth, means that you want two digits after the decimal point. The square root of 1055 rounded to the nearest thousandth, means that you want three digits after the decimal point.
10th: √1055 ≈ 32.5
100th: √1055 ≈ 32.48
1000th: √1055 ≈ 32.481
What is the square root of 1055 as a fraction?
Like we said above, since the square root of 1055 is an irrational number, we cannot make it into an exact fraction. However, we can make it into an approximate fraction using the square root of 1055 rounded to the nearest hundredth.
√1055
≈ 32.48/1
≈ 3248/100
≈ 32 12/25
What is the square root of 1055 written with an exponent?
All square roots can be converted to a number (base) with a fractional exponent. The square root of 1055 is no exception. Here is the rule and the answer to "the square root of 1055 converted to a base with an exponent?":
√b = b½
√1055 = 1055½
How to find the square root of 1055 by long division method
Here we will show you how to calculate the square root of 1055 using the long division method with one decimal place accuracy. This is the lost art of how they calculated the square root of 1055 by hand before modern technology was invented.
Step 1)
Set up 1055 in pairs of two digits from right to left and attach one set of 00 because we want one decimal:
10 55 00
Step 2)
Starting with the first set: the largest perfect square less than or equal to 10 is 9, and the square root of 9 is 3. Therefore, put 3 on top and 9 at the bottom like this:
3
10 55 00
9
Step 3)
Calculate 10 minus 9 and put the difference below. Then move down the next set of numbers.
3
10 55 00
9
1 55
Step 4)
Double the number in green on top: 3 × 2 = 6. Then, use 6 and the bottom number to make this problem:
6? × ? ≤ 155
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:
62 × 2 = 124.
Now, enter 2 on top, and 124 at the bottom:
3 2
10 55 00
9
1 55
1 24
Step 5)
Calculate 155 minus 124 and put the difference below. Then move down the next set of numbers.
3 2
10 55 00
9
1 55
1 24
0 31 00
Step 6)
Double the number in green on top: 32 × 2 = 64. Then, use 64 and the bottom number to make this problem:
64? × ? ≤ 3100
The question marks are "blank" and the same "blank". With trial and error, we found the largest number "blank" can be is 4. Now, enter 4 on top:
3 2 4
10 55 00
9
1 55
1 24
0 31 00
That's it! The answer is on top. The square root of 1055 with one digit decimal accuracy is 32.4.