Cube Root of 343

The cube root of 343 is the number, which multiplied by itself 3 times, is 343. In other words, this number to the power of 3 equals 343.

Besides the real value of \sqrt[3]{343} along with an explanation, on this page you can also find what the elements of the cube root of 343 are called.

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

Cube Root Calculator

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\sqrt[3]{343} = 7This Cube Root Calculator and Information is Really Cool! Click To TweetIf you have been looking for the cube root of three hundred forty-three, then you are right here, too.

The term can be written as \sqrt[3]{343} \hspace{3 mm}or\hspace{3 mm} 343^{1/3}.

As the index 3 is odd, 343 has only one cube real root: \sqrt[3]{343}, sometimes called principal cube root of 343.

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

There, we also discuss the properties for index n = 3 by means of examples: multiplication, division, exponentiation etc.

Next, we have a look at the inverse function.

Inverse of Cube Root of 343

Extracting the cube root is the inverse operation of ^3:\underbrace{ {\rm \sqrt[3]{343} \times\thinspace ... \times\thinspace \sqrt[3]{343}} }_{\rm 3 \thickspace times} = \sqrt[3]{343}^{3}= 343In the following paragraph, we are going to name the elements of this ∛.

What is the Cube Root of 343?

You already have the answer to that question, and you also know about the inverse operation of 343 cube root.

Keep reading to learn what the parts are called.

  • \sqrt[3]{343} is the cube root of 343 symbol
  • 3 is the index
  • 343 = radicand; the radicand is the number below the radical sign
  • Cube root = 7
  • √ is called radical symbol or radical only

Third root of 343 = 7

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

Now you really know all about \sqrt[3]{343}, including its values, parts and the inverse.

If you need to extract the 3rd root of any other real number use our calculator above.

Simply insert the number of which you want to find the cube root (e.g. 343); the calculation is done automatically.

If you like our information about \sqrt[3]{343}, then a similar cube root you may be interested in is, for example: cube root of 345.

In the following table you can find the n-th root of 343 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 343.
IndexRadicandRootSymbolValue
2343Square Root of 343\sqrt[2]{343}±18.5202591775
3343Cube Root of 343\sqrt[3]{343}7
4343Forth Root of 343\sqrt[4]{343}±4.3035170707
5343Fifth Root of 343\sqrt[5]{343}3.2140958497
6343Sixth Root of 343\sqrt[6]{343}±2.6457513111
7343Seventh Root of 343\sqrt[7]{343}2.3024217239
8343Eight Root of 343\sqrt[8]{343}±2.074492003
9343Nineth Root of 343\sqrt[9]{343}1.9129311828
10343Tenth Root of 343\sqrt[10]{343}±1.7927899625
A few lines down from here we review the FAQs.

Cube Root of Three Hundred Forty-Three

If you have been searching for what's the cube root of three hundred forty-three or 3rd root of 343, then you are reading the right post as well.

The same is true if you typed 3 root of 343 or 343 3 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 Cube Root of 343

How Many Real Cube Roots Does 343 Have?

343 has one real cube root, because the index 3 is odd.

What to the Third Power Equals 343?

The cube root of 343 to the power of 3 equals 343.

How Do You Find the Cube Root of 343?

Start with an initial guess such that 3 times that value equals approximately 343, then keep improving the guess until you have the required precision.

What is 343 to the Cube Root?

343 to the cube root = 343^1/3 = 7.

What Number is the Cube Root of 343?

The cube root of 343 = 7.

How Do You Solve the Cube Root of 343?

To compute the 3rd root of 343 use a calculator, and/or employ the Newton–Raphson method.

What is the Value of 3 Root 343?

The value of 3 root 343 is 7.



Ahead is the wrap-up of our information.

Summary

To sum up, the cube root of 343 is 7.

Finding the third root of the number 343 is the inverse operation of rising the \sqrt[3]{343} to the power of 3. That is to say, (7)3 = 343.

Cube Root of 343
Further information related to \sqrt[3]{343} can be found on our page n-th Root.

Note that you can also locate roots like \sqrt[3]{343} by means of the search form in the menu and in the sidebar of this site.

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