Besides the real values of \sqrt[2]{280} along with an explanation, on this page you can also find what the elements of the square root of 280 are called.
In addition to the terminology, we have a calculator you don’t want to miss:
Square Root Calculator
The term can be written as \sqrt[2]{280} \hspace{3 mm}or\hspace{3 mm} 280^{1/2}.
As the index 2 is even and 280 is greater than 0, 280 has two real square roots: \sqrt[2]{280}, which is positive and called principal square root of 280, and −\sqrt[2]{280}, which is negative.
Together, they are denominated as ±\sqrt[2]{280}.
Although the principal square root of two hundred eighty is only one of the two square roots, the term “square root of 280” 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 280
Extracting the square root is the inverse operation of ^2:\underbrace{ {\rm \sqrt[2]{280} \times\thinspace ... \times\thinspace \sqrt[2]{280}} }_{\rm 2 \thickspace times} = \sqrt[2]{280}^{2}= 280In the following paragraph, we are going to name the elements of this √.What is the Square Root of 280?
You already have the answer to that question, and you also know about the inverse operation of 280 square root.Keep reading to learn what the parts are called.
- \sqrt[2]{280} is the square root of 280 symbol
- 2 is the index
- 280 = radicand; the radicand is the number below the radical sign
- Square root = ±16.7332005307
- √ is called radical symbol or radical only
Second root of 280 = ±16.7332005307
As a sidenote: All values on this page have been rounded to ten decimal places.
Now you really know all about \sqrt[2]{280}, 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. 280); the calculation is done automatically.
If you like our information about \sqrt[2]{280}, then a similar square root you may be interested in is, for example: square root of 282.
In the following table you can find the n-th root of 280 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 280.Index | Radicand | Root | Symbol | Value |
---|---|---|---|---|
2 | 280 | Square Root of 280 | \sqrt[2]{280} | ±16.7332005307 |
3 | 280 | Cube Root of 280 | \sqrt[3]{280} | 6.5421326204 |
4 | 280 | Forth Root of 280 | \sqrt[4]{280} | ±4.0906234892 |
5 | 280 | Fifth Root of 280 | \sqrt[5]{280} | 3.0862535768 |
6 | 280 | Sixth Root of 280 | \sqrt[6]{280} | ±2.5577592968 |
7 | 280 | Seventh Root of 280 | \sqrt[7]{280} | 2.2366292721 |
8 | 280 | Eight Root of 280 | \sqrt[8]{280} | ±2.0225289835 |
9 | 280 | Nineth Root of 280 | \sqrt[9]{280} | 1.8702792171 |
10 | 280 | Tenth Root of 280 | \sqrt[10]{280} | ±1.7567736271 |
Square Root of Two Hundred Eighty
If you have been searching for what's the square root of two hundred eighty or 2nd root of 280, then you are reading the right post as well.The same is true if you typed 2 root of 280 or 280 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 280
How Many Real Square Roots Does 280 Have?
280 has two real square roots, because the radicand 280 is positive and the index 2 is even.
What to the Second Power Equals 280?
The square root of 280 to the power of 2 equals 280.
How Do You Find the Square Root of 280?
Start with an initial guess such that 2 times that value equals approximately 280, then keep improving the guess until you have the required precision.
What is 280 to the Square Root?
280 to the square root = 280^1/2 = ±16.7332005307.
What Number is the Square Root of 280?
The square root of 280 = ±16.7332005307.
How Do You Solve the Square Root of 280?
To compute the 2nd root of 280 use a calculator, and/or employ the Newton–Raphson method.
What is the Value of 2 Root 280?
The value of 2 root 280 is ±16.7332005307.
Ahead is the wrap-up of our information.
Summary
To sum up, the square roots of 280 are ±16.7332005307.Finding the second root of the number 280 is the inverse operation of rising the \sqrt[2]{280} to the power of 2. That is to say, (±16.7332005307)2 = 280.

Further information related to \sqrt[2]{280} can be found on our page n-th Root.
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