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Square Root of 31

The square root of 31 is the number, which multiplied by itself 2 times, is 31. In other words, this number to the power of 2 equals 31.

Besides the real values of


along with an explanation, on this page you can also find what the elements of the square root of 31 are called.

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

Calculator

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²√31 = ±5.5677643628
If you have been looking for the square root of thirty-one, then you are right here, too.

Second Root of 31

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

The term can be written as ²√31 or 31^1/2.

As the index 2 is even and 31 is greater than 0, 31 has two real square roots:

²√31, which is positive and called principal square root of 31, and -²√31 which is negative.

Together, they are denominated as


Although the principal square root of thirty-one is only one of the two square roots, the term “square root of 31” usually refers to the positive number, that is the principal square root.

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

There, we also discuss the properties for index n = 2 by means of examples: multiplication, division, exponentiation etc.

Next, we have a look at the inverse function.

Inverse of Square Root of 31

Extracting the square root is the inverse operation of ^2:


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

What is the Square Root of 31?

You already have the answer to that question, and you also know about the inverse operation of 31 square root.

Keep reading to learn what the parts are called.

  • ²√31 is the square root of 31 symbol
  • 2 is the index
  • 31 = radicand; the radicand is the number below the radical sign
  • Square root = ±5.5677643628
  • √ is called radical symbol or radical only

Second root of 31 = ±5.5677643628

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

Now you really know all about ²√31, including its values, parts and the inverse.

If you need to extract the 2nd root of any other real number use our calculator above.

Simply insert the number of which you want to find the square root (e.g. 31); the calculation is done automatically.

If you like our information about ²√31, then a similar square root you may be interested in is, for example: square root of 33.

In the following table you can find the n-th root of 31 for n = 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 31.

IndexRadicandRootSymbolValue
231Square Root of 31²√31±5.5677643628
331Cube Root of 31³√313.1413806524
431Forth Root of 31⁴√31±2.3596110618
531Fifth Root of 31⁵√311.9873407547
631Sixth Root of 31⁶√31±1.7723940455
731Seventh Root of 31⁷√311.6332462532
831Eight Root of 31⁸√31±1.5361025557
931Nineth Root of 31⁹√311.4645589423
1031Tenth Root of 31¹⁰√31±1.4097307384

A few lines down from here we review the FAQs.

Square Root of Thirty-One

If you have been searching for what’s the square root of thirty-one or 2nd root of 31, then you are reading the right post as well.

The same is true if you typed 2 root of 31 or 31 2 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 square roots of 31 are ±5.5677643628; the positive real value is the principal.

Finding the second root of the number 31 is the inverse operation of rising the ²√31 to the power of 2. That is to say, (±5.5677643628)2 = 31.


Further information about the root of a number like ²√31 can be found on our page n-th Root.

Note that you can also locate roots of real numbers such as ²√31 by means of the search form in the menu and in the sidebar of this site.

If our article about the square √ 31 has been useful to you , then press some of the share buttons located at the bottom of this page.

BTW: A term closely related to square roots is perfect square. We tell you everything about perfect squares in our article Square Numbers.

If you have any questions about the 2nd root of 31, fill in the comment form below.

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