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Square Root of 171

The square root of 171 is the number, which multiplied by itself 2 times, is 171. In other words, this number to the power of 2 equals 171.

Besides the real values of

along with an explanation, on this page you can also find what the elements of the square root of 171 are called.

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


²√171 = ±13.0766968306
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If you have been looking for the square root of one hundred seventy-one, then you are right here, too.

Second Root of 171

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

The term can be written as ²√171 or 171^1/2.

As the index 2 is even and 171 is greater than 0, 171 has two real square roots:

²√171, which is positive and called principal square root of 171, and -²√171 which is negative.

Together, they are denominated as

Although the principal square root of one hundred seventy-one is only one of the two square roots, the term “square root of 171” 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 171

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 171?

You already have the answer to that question, and you also know about the inverse operation of 171 square root.

Keep reading to learn what the parts are called.
  • ²√171 is the square root of 171 symbol
  • 2 is the index
  • 171 = radicand; the radicand is the number below the radical sign
  • Square root = ±13.0766968306
  • √ is called radical symbol or radical only
Second root of 171 = ±13.0766968306

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

Now you really know all about ²√171, 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. 171); the calculation is done automatically.

If you like our information about ²√171, then a similar square root you may be interested in is, for example: square root of 173.

In the following table you can find the n-th root of 171 for n = 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 171.
2171Square Root of 171²√171±13.0766968306
3171Cube Root of 171³√1715.5504991029
4171Forth Root of 171⁴√171±3.616171571
5171Fifth Root of 171⁵√1712.7963995404
6171Sixth Root of 171⁶√171±2.3559497242
7171Seventh Root of 171⁷√1712.0844882161
8171Eight Root of 171⁸√171±1.9016234041
9171Nineth Root of 171⁹√1711.7705601239
10171Tenth Root of 171¹⁰√171±1.6722438639
A few lines down from here we review the FAQs.

Square Root of One Hundred Seventy-One

If you have been searching for what’s the square root of one hundred seventy-one or 2nd root of 171, then you are reading the right post as well.

The same is true if you typed 2 root of 171 or 171 2 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 Square Root of 171

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

How Many Real Square Roots Does 171 Have?

171 has two real square roots, because the radicand 171 is positive and the index 2 is even.

What to the Second Power Equals 171?

The square root of 171 to the power of 2 equals 171.

How Do You Find the Square Root of 171?

Start with an initial guess such that 2 times that value equals approximately 171, then keep improving the guess until you have the required precision.

What is 171 to the Square Root?

171 to the square root = 171^1/2 = ±13.0766968306.

What Number is the Square Root of 171?

The square root of 171 = ±13.0766968306.

How Do You Solve the Square Root of 171?

To compute the 2nd root of 171 use a calculator, and/or employ the Newton–Raphson method.

What is the Value of 2 Root 171?

The value of 2 root 171 is ±13.0766968306.

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 square roots of 171 are ±13.0766968306; the positive real value is the principal.

Finding the second root of the number 171 is the inverse operation of rising the ²√171 to the power of 2. That is to say, (±13.0766968306)2 = 171.

Further information about the root of a number like ²√171 can be found on our page n-th Root.

Note that you can also locate roots of real numbers such as ²√171 by means of the search form in the menu and in the sidebar of this site.

If our article about the square √ 171 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.

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