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5th Root of 3

The 5th root of 3 is the number, which multiplied by itself 5 times, is 3. In other words, this number to the power of 5 equals 3.

Besides the real value of


along with an explanation, on this page you can also find what the elements of the 5th root of 3 are called.

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

Calculator

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⁵√3 = 1.2457309396

If you have been looking for the 5th root of three, then you are right here, too.

Fifth Root of 3

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

The term can be written as ⁵√3 or 3^1/5.

As the index 5 is odd, 3 has only one 5th real root: ⁵√3 sometimes called principal 5th root of 3.

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 n3 = 5 by means of examples: multiplication, division, exponentiation etc.

Next, we have a look at the inverse function.

Inverse of 5th Root of 3

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 3?

You already have the answer to that question, and you also know about the inverse operation of 3 5th root.

Keep reading to learn what the parts are called.

  • ⁵√3 is the 5th root of 3 symbol
  • 5 is the index
  • 33 = radicand; the radicand is the number below the radical sign
  • 5th root3 = 1.2457309396
  • √ is called radical symbol or radical only

5th root of 33 = 1.2457309396

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

Now you really know all about ⁵√3, 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. 3); the calculation is done automatically.

If you like our information about ⁵√3, then a similar 5th root you may be interested in is, for example: 5th root of 5.

In the following table you can find the n-th root of 3 for n3 = 2,3,4,5,6,7,8,9,10.

Table

The aim of this table is to provide you with an overview of the nth roots of 3.

IndexRadicandRootSymbolValue
23Square Root of 3²√3±1.7320508076
33Cube Root of 3³√31.4422495703
43Forth Root of 3⁴√3±1.316074013
53Fifth Root of 3⁵√31.2457309396
63Sixth Root of 3⁶√3±1.2009369552
73Seventh Root of 3⁷√31.1699308128
83Eight Root of 3⁸√3±1.1472026904
93Nineth Root of 3⁹√31.1298309639
103Tenth Root of 3¹⁰√3±1.116123174

A few lines down from here we review the FAQs.

Fifth Root of Three

If you have been searching for what’s the fifth root of three or 5-th root of 3, then you are reading the right post as well.

The same is true if you typed 5 root of 3 or 3 5 root in the search engine of your preference, just to name a few similar terms.

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.

Summary

To sum up, the fifth root of 3 is 1.2457309396.

Finding the 5th root of the number 3 is the inverse operation of rising the ⁵√3 to the power of 5. That is to say, (1.2457309396)53 = 3.


Further information related to ⁵√3 can be found on our page 5th Root.

Note that you can also locate roots like ⁵√3 by means of the search form in the menu and in the sidebar of this site.

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– Article written by Mark, last updated on November 26th, 2023