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Square Root of 169


The square root of 169 is the number, which multiplied by itself 2 times, is 169. In other words, this number to the power of 2 equals 169.

Besides the real values of


along with an explanation, on this page you can also find what the elements of the square root of 169 are called.

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

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²√169 = ±13
This Square Root ⇄ Number Calculator is Really Cool! Click To TweetIf you have been looking for the square root of one hundred sixty-nine, then you are right here, too.

Second Root of 169

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

The term can be written as ²√169 or 169^1/2.

As the index 2 is even and 169 is greater than 0, 169 has two real square roots:

²√169, which is positive and called principal square root of 169, and -²√169 which is negative.

Together, they are denominated as


Although the principal square root of one hundred sixty-nine is only one of the two square roots, the term “square root of 169” 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 169

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 169?

You already have the answer to that question, and you also know about the inverse operation of 169 square root.

Keep reading to learn what the parts are called.
  • ²√169 is the square root of 169 symbol
  • 2 is the index
  • 169 = radicand; the radicand is the number below the radical sign
  • Square root = ±13
  • √ is called radical symbol or radical only
Second root of 169 = ±13

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

Now you really know all about ²√169, 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. 169); the calculation is done automatically.

If you like our information about ²√169, then a similar square root you may be interested in is, for example: square root of 171.

In the following table you can find the n-th root of 169 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 169.
IndexRadicandRootSymbolValue
2169Square Root of 169²√169±13
3169Cube Root of 169³√1695.5287748137
4169Forth Root of 169⁴√169±3.6055512755
5169Fifth Root of 169⁵√1692.7898274359
6169Sixth Root of 169⁶√169±2.3513346877
7169Seventh Root of 169⁷√1692.0809877766
8169Eight Root of 169⁸√169±1.8988289221
9169Nineth Root of 169⁹√1691.7682471516
10169Tenth Root of 169¹⁰√169±1.6702776523
A few lines down from here we review the FAQs.

Square Root of One Hundred Sixty-Nine

If you have been searching for what’s the square root of one hundred sixty-nine or 2nd root of 169, then you are reading the right post as well.

The same is true if you typed 2 root of 169 or 169 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 169

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

How Many Real Square Roots Does 169 Have?

169 has two real square roots, because the radicand 169 is positive and the index 2 is even.

What to the Second Power Equals 169?

The square root of 169 to the power of 2 equals 169.

How Do You Find the Square Root of 169?

Start with an initial guess such that 2 times that value equals approximately 169, then keep improving the guess until you have the required precision.

What is 169 to the Square Root?

169 to the square root = 169^1/2 = ±13.

What Number is the Square Root of 169?

The square root of 169 = ±13.

How Do You Solve the Square Root of 169?

To compute the 2nd root of 169 use a calculator, and/or employ the Newton–Raphson method.

What is the Value of 2 Root 169?

The value of 2 root 169 is ±13.

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 169 are ±13; the positive real value is the principal.

Finding the second root of the number 169 is the inverse operation of rising the ²√169 to the power of 2. That is to say, (±13)2 = 169.


Further information about the root of a number like ²√169 can be found on our page n-th Root.

Note that you can also locate roots of real numbers such as ²√169 by means of the search form in the menu and in the sidebar of this site.

If our article about the square √ 169 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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