Square Root of 55


Square Root of 55

Here we will define, analyze, simplify, and calculate the square root of 55. We start off with the definition and then answer some common questions about the square root of 55. Then, we will show you different ways of calculating the square root of 55 with and without a computer or calculator. We have a lot of information to share, so let's get started!



Square root of 55 definition
The square root of 55 in mathematical form is written with the radical sign like this √55. We call this the square root of 55 in radical form. The square root of 55 is a quantity (q) that when multiplied by itself will equal 55.

55 = q × q = q2



Is 55 a perfect square?
55 is a perfect square if the square root of 55 equals a whole number. As we have calculated further down on this page, the square root of 55 is not a whole number.

55 is not a perfect square.



Is the square root of 55 rational or irrational?
The square root of 55 is a rational number if 55 is a perfect square. It is an irrational number if it is not a perfect square. Since 55 is not a perfect square, it is an irrational number. This means that the answer to "the square root of 55?" will have an infinite number of decimals. The decimals will not terminate and you cannot make it into an exact fraction.

55 is an irrational number



Can the square root of 55 be simplified?
You can simplify 55 if you can make 55 inside the radical smaller. We call this process "to simplify a surd". The square root of 55 cannot be simplified.

55 is already in its simplest radical form.



How to calculate the square root of 55 with a calculator
The easiest and most boring way to calculate the square root of 55 is to use your calculator! Simply type in 55 followed by √x to get the answer. We did that with our calculator and got the following answer with 9 decimal numbers:

55 ≈ 7.416198487




How to calculate the square root of 55 with a computer
If you are using a computer that has Excel or Numbers, then you can enter SQRT(55) in a cell to get the square root of 55. Below is the result we got with 13 decimals. We call this the square root of 55 in decimal form.

SQRT(55) ≈ 7.4161984870957



What is the square root of 55 rounded?
The square root of 55 rounded to the nearest tenth, means that you want one digit after the decimal point. The square root of 55 rounded to the nearest hundredth, means that you want two digits after the decimal point. The square root of 55 rounded to the nearest thousandth, means that you want three digits after the decimal point.

10th: √55 ≈ 7.4

100th: √55 ≈ 7.42

1000th: √55 ≈ 7.416



What is the square root of 55 as a fraction?
Like we said above, since the square root of 55 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 55 rounded to the nearest hundredth.

55
≈ 7.42/1
≈ 742/100
≈ 7 21/50



What is the square root of 55 written with an exponent?
All square roots can be converted to a number (base) with a fractional exponent. The square root of 55 is no exception. Here is the rule and the answer to "the square root of 55 converted to a base with an exponent?":

b = b½

55 = 55½



How to find the square root of 55 by long division method
Here we will show you how to calculate the square root of 55 using the long division method with one decimal place accuracy. This is the lost art of how they calculated the square root of 55 by hand before modern technology was invented.

Step 1)
Set up 55 in pairs of two digits from right to left and attach one set of 00 because we want one decimal:

5500



Step 2)
Starting with the first set: the largest perfect square less than or equal to 55 is 49, and the square root of 49 is 7. Therefore, put 7 on top and 49 at the bottom like this:

7
5500
49



Step 3)
Calculate 55 minus 49 and put the difference below. Then move down the next set of numbers.

7
5500
49
600



Step 4)
Double the number in green on top: 7 × 2 = 14. Then, use 14 and the bottom number to make this problem:

14? × ? ≤ 600

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:

74
5500
49
600

That's it! The answer is on top. The square root of 55 with one digit decimal accuracy is 7.4.



Square Root of a Number
Please enter another number in the box below to get the square root of the number and other detailed information like you got for 55 on this page.






Notes
Remember that negative times negative equals positive. Thus, the square root of 55 does not only have the positive answer that we have explained above, but also the negative counterpart.

We often refer to perfect square roots on this page. You may want to use the list of perfect squares for reference.


Square Root of 56
Here is the next number on our list that we have equally detailed square root information about.


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