Table of Contents
Besides the real value of
along with an explanation, on this page you can also find what the elements of the cube root of 1000 are called.
In addition to the terminology, we have a calculator you don’t want to miss:
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Third Root of 1000
In this section we provide you with important additional information about the topic of this post:The term can be written as ³√1000 or 1000^1/3.
As the index 3 is odd, 1000 has only one cube real root: ³√1000 sometimes called principal cube root of 1000.
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 1000
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 1000?
You already have the answer to that question, and you also know about the inverse operation of 1000 cube root.Keep reading to learn what the parts are called.
- ³√1000 is the cube root of 1000 symbol
- 3 is the index
- 1000 = radicand; the radicand is the number below the radical sign
- Cube root = 10
- √ is called radical symbol or radical only
As a sidenote: All values on this page have been rounded to ten decimal places.
Now you really know all about ³√1000, 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. 1000); the calculation is done automatically.
If you like our information about ³√1000, then a similar cube root you may be interested in is, for example: cube root of 1002.
In the following table you can find the n-th root of 1000 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 1000.| Index | Radicand | Root | Symbol | Value |
|---|---|---|---|---|
| 2 | 1000 | Square Root of 1000 | ²√1000 | ±31.6227766017 |
| 3 | 1000 | Cube Root of 1000 | ³√1000 | 10 |
| 4 | 1000 | Forth Root of 1000 | ⁴√1000 | ±5.6234132519 |
| 5 | 1000 | Fifth Root of 1000 | ⁵√1000 | 3.9810717055 |
| 6 | 1000 | Sixth Root of 1000 | ⁶√1000 | ±3.1622776602 |
| 7 | 1000 | Seventh Root of 1000 | ⁷√1000 | 2.6826957953 |
| 8 | 1000 | Eight Root of 1000 | ⁸√1000 | ±2.3713737057 |
| 9 | 1000 | Nineth Root of 1000 | ⁹√1000 | 2.15443469 |
| 10 | 1000 | Tenth Root of 1000 | ¹⁰√1000 | ±1.995262315 |
Cube Root of One Thousand
If you have been searching for what’s the cube root of one thousand or 3rd root of 1000, then you are reading the right post as well.The same is true if you typed 3 root of 1000 or 1000 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 1000
Click on the question which is of interest to you to see the collapsible content answer.How Many Real Cube Roots Does 1000 Have?
1000 has one real cube root, because the index 3 is odd.
What to the Third Power Equals 1000?
The cube root of 1000 to the power of 3 equals 1000.
How Do You Find the Cube Root of 1000?
Start with an initial guess such that 3 times that value equals approximately 1000, then keep improving the guess until you have the required precision.
What is 1000 to the Cube Root?
1000 to the cube root = 1000^1/3 = 10.
What Number is the Cube Root of 1000?
The cube root of 1000 = 10.
How Do You Solve the Cube Root of 1000?
To compute the 3rd root of 1000 use a calculator, and/or employ the Newton–Raphson method.
What is the Value of 3 Root 1000?
The value of 3 root 1000 is 10.
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Ahead is the wrap-up of our information.
Summary
To sum up, the cube root of 1000 is 10.Finding the third root of the number 1000 is the inverse operation of rising the ³√1000 to the power of 3. That is to say, (10)3 = 1000.
Further information related to ³√1000 can be found on our page n-th Root.
Note that you can also locate roots like ³√1000 by means of the search form in the menu and in the sidebar of this site.
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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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