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5th Root of 2

The 5th root of 2 is the number, which multiplied by itself 5 times, is 2. In other words, this number to the power of 5 equals 2.

Besides the real value of

along with an explanation, on this page you can also find what the elements of the 5th root of 2 are called.

In addition to the terminology, we have a calculator you don’t want to miss:

⁵√2 = 1.148698355
This 5th Root ⇄ Number Calculator is Really Cool! Click To TweetIf you have been looking for the 5th root of two, then you are right here, too.

Fifth Root of 2

In this section we provide you with important additional information about the topic of this post:

The term can be written as ⁵√2 or 2^1/5.

As the index 5 is odd, 2 has only one 5th real root: ⁵√2 sometimes called principal 5th root of 2.

If you want to know how to find the value of this root, then read our article 5th Root located in the header menu.

There, we also discuss the properties for index n2 = 5 by means of examples: multiplication, division, exponentiation etc.

Next, we have a look at the inverse function.

Inverse of 5th Root of 2

Extracting the 5th root is the inverse operation of ^5:

In the following paragraph, we are going to name the elements of this √.

What is the 5th Root of 2?

You already have the answer to that question, and you also know about the inverse operation of 2 5th root.

Keep reading to learn what the parts are called.
  • ⁵√2 is the 5th root of 2 symbol
  • 5 is the index
  • 22 = radicand; the radicand is the number below the radical sign
  • 5th root2 = 1.148698355
  • √ is called radical symbol or radical only
5th root of 22 = 1.148698355

As a sidenote: All values on this page have been rounded to ten decimal places.

Now you really know all about ⁵√2, including its values, parts and the inverse.

If you need to extract the 5th root of any other real number use our calculator above.

Simply insert the number of which you want to find the 5th root (e.g. 2); the calculation is done automatically.

If you like our information about ⁵√2, then a similar 5th root you may be interested in is, for example: 5th root of 4.

In the following table you can find the n-th root of 2 for n2 = 2,3,4,5,6,7,8,9,10.


The aim of this table is to provide you with an overview of the nth roots of 2.
22Square Root of 2²√2±1.4142135624
32Cube Root of 2³√21.2599210499
42Forth Root of 2⁴√2±1.189207115
52Fifth Root of 2⁵√21.148698355
62Sixth Root of 2⁶√2±1.1224620483
72Seventh Root of 2⁷√21.1040895137
82Eight Root of 2⁸√2±1.0905077327
92Nineth Root of 2⁹√21.0800597389
102Tenth Root of 2¹⁰√2±1.0717734625
A few lines down from here we review the FAQs.

Fifth Root of Two

If you have been searching for what’s the fifth root of two or 5-th root of 2, then you are reading the right post as well.

The same is true if you typed 5 root of 2 or 2 5 root in the search engine of your preference, just to name a few similar terms.

Right below you can find the frequently asked questions in the context.

FAQs About the 5th Root of 2

Click on the question which is of interest to you to see the collapsible content answer.

How Many Real Fifth Roots Does 2 Have?

2 has one real fifth root, because the index 5 is odd.

What to the 5th Power Equals 2?

The 5th root of 2 to the power of 5 equals 2.

How Do You Find the Fifth Root of 2?

Start with an initial guess such that 5 times that value equals approximately 2, then keep improving the guess until you have the required precision.

What is 2 to the 5th Root?

2 to the 5th root2 = 2^1/52 = 1.148698355.

What Number is the 5th Root of 2?

The 5th root of 22 = 1.148698355.

How Do You Solve the 5-th Root of 2?

To compute the 5-th root of 2 use a calculator, and/or employ the Newton–Raphson method.

What is the Value of 5 Root 2?

The value of 5 root 2 is 1.148698355.

If something remains unclear do not hesitate getting in touch with us.

We are constantly trying to improve our site, and truly appreciate your feedback.

Ahead is the wrap-up of our information.


To sum up, the fifth root of 2 is 1.148698355.

Finding the 5th root of the number 2 is the inverse operation of rising the ⁵√2 to the power of 5. That is to say, (1.148698355)52 = 2.

Further information related to ⁵√2 can be found on our page 5th Root.

Note that you can also locate roots like ⁵√2 by means of the search form in the menu and in the sidebar of this site.

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If you have any questions about the 5-th root of 2, fill in the comment form below.

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