Table of Contents
The cube root of 400 is the number, which multiplied by itself three times, is 400. In other words, this number to the power of 3 equals 400.
Besides the real value of
along with an explanation, on this page you can also find what the elements of the cube root of 400 are called.
In addition to the terminology, we have a calculator you don’t want to miss:
Calculator
Third Root of 400
In this section we provide you with important additional information about the topic of this post:
The term can be written as ³√400 or 400^1/3.
As the index 3 is odd, 400 has only one cube real root: ³√400 sometimes called principal cube root of 400.
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 400
Extracting the cube root is the inverse operation of ^3:
In the following paragraph, we are going to name the elements of this ∛.
What is the Cube Root of 400?
You already have the answer to that question, and you also know about the inverse operation of 400 cube root.
Keep reading to learn what the parts are called.
- ³√400 is the cube root of 400 symbol
- 3 is the index
- 400 = radicand; the radicand is the number below the radical sign
- Cube root = 7.3680629973
- √ is called radical symbol or radical only
Third root of 400 = 7.3680629973
As a sidenote: All values on this page have been rounded to ten decimal places.
Now you really know all about ³√400, 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. 400); the calculation is done automatically.
If you like our information about ³√400, then a similar cube root you may be interested in is, for example: cube root of 402.
In the following table you can find the n-th root of 400 for number 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 400.
| Index | Radicand | Root | Symbol | Value |
|---|---|---|---|---|
| 2 | 400 | Square Root of 400 | ²√400 | ±20 |
| 3 | 400 | Cube Root of 400 | ³√400 | 7.3680629973 |
| 4 | 400 | Forth Root of 400 | ⁴√400 | ±4.472135955 |
| 5 | 400 | Fifth Root of 400 | ⁵√400 | 3.3144540173 |
| 6 | 400 | Sixth Root of 400 | ⁶√400 | ±2.7144176166 |
| 7 | 400 | Seventh Root of 400 | ⁷√400 | 2.3535468937 |
| 8 | 400 | Eight Root of 400 | ⁸√400 | ±2.1147425269 |
| 9 | 400 | Nineth Root of 400 | ⁹√400 | 1.9458877176 |
| 10 | 400 | Tenth Root of 400 | ¹⁰√400 | ±1.820564203 |
A few lines down from here we review the FAQs.
Cube Root of Four Hundred
If you have been searching for what’s the cube root of four hundred or 3rd root of 400, then you are reading the right post as well.
The same is true if you typed 3 root of 400 or 400 3 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.
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Ahead is the wrap-up of our information.
Summary
To sum up, the cube root of 400 is 7.3680629973.
Finding the third root of the number 400 is the inverse operation of rising the ³√400 to the power of 3. That is to say, (7.3680629973)3 = 400.
Further information related to ³√400 can be found on our page n-th Root.
Note that you can also locate roots like ³√400 by means of the search form in the menu and in the sidebar of this site.
If our article about the cube √ 400 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 cube roots is perfect cube. We tell you everything about perfect cubes in our article Cube Numbers.
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– Article written by Mark, last updated on November 26th, 2023