Square Root of 289

The square root of 289 is the number, which multiplied by itself 2 times, is 289. In other words, this number to the power of 2 equals 289.

Besides the real values of \sqrt[2]{289} along with an explanation, on this page you can also find what the elements of the square root of 289 are called.

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

Square Root Calculator

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\sqrt[2]{289} = \pm17This Square Root Calculator and Information is Really Cool! Click To TweetIf you have been looking for the square root of two hundred eighty-nine, then you are right here, too.

The term can be written as \sqrt[2]{289} \hspace{3 mm}or\hspace{3 mm} 289^{1/2}.

As the index 2 is even and 289 is greater than 0, 289 has two real square roots: \sqrt[2]{289}, which is positive and called principal square root of 289, and −\sqrt[2]{289}, which is negative.

Together, they are denominated as ±\sqrt[2]{289}.

Although the principal square root of two hundred eighty-nine is only one of the two square roots, the term “square root of 289” usually refers to the positive number.

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 289

Extracting the square root is the inverse operation of ^2:\underbrace{ {\rm \sqrt[2]{289} \times\thinspace ... \times\thinspace \sqrt[2]{289}} }_{\rm 2 \thickspace times} = \sqrt[2]{289}^{2}= 289In the following paragraph, we are going to name the elements of this √.

What is the Square Root of 289?

You already have the answer to that question, and you also know about the inverse operation of 289 square root.

Keep reading to learn what the parts are called.

  • \sqrt[2]{289} is the square root of 289 symbol
  • 2 is the index
  • 289 = radicand; the radicand is the number below the radical sign
  • Square root = ±17
  • √ is called radical symbol or radical only

Second root of 289 = ±17

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

Now you really know all about \sqrt[2]{289}, 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. 289); the calculation is done automatically.

If you like our information about \sqrt[2]{289}, then a similar square root you may be interested in is, for example: square root of 291.

In the following table you can find the n-th root of 289 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 289.
IndexRadicandRootSymbolValue
2289Square Root of 289\sqrt[2]{289}±17
3289Cube Root of 289\sqrt[3]{289}6.6114890185
4289Forth Root of 289\sqrt[4]{289}±4.1231056256
5289Fifth Root of 289\sqrt[5]{289}3.1058435016
6289Sixth Root of 289\sqrt[6]{289}±2.5712815907
7289Seventh Root of 289\sqrt[7]{289}2.2467607829
8289Eight Root of 289\sqrt[8]{289}±2.0305431849
9289Nineth Root of 289\sqrt[9]{289}1.8768652508
10289Tenth Root of 289\sqrt[10]{289}±1.7623403478
A few lines down from here we review the FAQs.

Square Root of Two Hundred Eighty-Nine

If you have been searching for what's the square root of two hundred eighty-nine or 2nd root of 289, then you are reading the right post as well.

The same is true if you typed 2 root of 289 or 289 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 289

How Many Real Square Roots Does 289 Have?

289 has two real square roots, because the radicand 289 is positive and the index 2 is even.

What to the Second Power Equals 289?

The square root of 289 to the power of 2 equals 289.

How Do You Find the Square Root of 289?

Start with an initial guess such that 2 times that value equals approximately 289, then keep improving the guess until you have the required precision.

What is 289 to the Square Root?

289 to the square root = 289^1/2 = ±17.

What Number is the Square Root of 289?

The square root of 289 = ±17.

How Do You Solve the Square Root of 289?

To compute the 2nd root of 289 use a calculator, and/or employ the Newton–Raphson method.

What is the Value of 2 Root 289?

The value of 2 root 289 is ±17.



Ahead is the wrap-up of our information.

Summary

To sum up, the square roots of 289 are ±17.

Finding the second root of the number 289 is the inverse operation of rising the \sqrt[2]{289} to the power of 2. That is to say, (±17)2 = 289.

Square Root of 289
Further information related to \sqrt[2]{289} can be found on our page n-th Root.

Note that you can also locate roots like \sqrt[2]{289} by means of the search form in the menu and in the sidebar of this site.

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