square root of 208.how?step by step explanation
Answers
Square Root of 208
The square root of 208 is the number, which multiplied by itself 2 times, is 208. In other words, this number to the power of 2 equals 208.
Besides the real values of \sqrt[2]{208}
2
208
along with an explanation, on this page you can also find what the elements of the square root of 208 are called.
In addition to the terminology, we have a calculator you don’t want to miss:
If you have been looking for the square root of two hundred eight, then you are right here, too.
The term can be written as \sqrt[2]{208} \hspace{3 mm}or\hspace{3 mm} 208^{1/2}
2
208
or208
1/2
.
As the index 2 is even and 208 is greater than 0, 208 has two real square roots: \sqrt[2]{208}
2
208
, which is positive and called principal square root of 208, and −\sqrt[2]{208}
2
208
, which is negative.
Together, they are denominated as ±\sqrt[2]{208}
2
208
.
Although the principal square root of two hundred eight is only one of the two square roots, the term “square root of 208” 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 208
Extracting the square root is the inverse operation of ^2:
\underbrace{ {\rm \sqrt[2]{208} \times\thinspace ... \times\thinspace \sqrt[2]{208}} }_{\rm 2 \thickspace times} = \sqrt[2]{208}^{2}= 208
2timesu
2
208
×...×
2
208
=
2
208
2
=208
In the following paragraph, we are going to name the elements of this √.
What is the Square Root of 208?
You already have the answer to that question, and you also know about the inverse operation of 208 square root.
Keep reading to learn what the parts are called.
\sqrt[2]{208}
2
208
is the square root of 208 symbol
2 is the index
208 = radicand; the radicand is the number below the radical sign
Square root = ±14.4222051019
√ is called radical symbol or radical only
Second root of 208 = ±14.4222051019
As a sidenote: All values on this page have been rounded to ten decimal places.
Now you really know all about \sqrt[2]{208}
2
208
, 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. 208); the calculation is done automatically.
If you like our information about \sqrt[2]{208}
2
208
, then a similar square root you may be interested in is, for example: square root of 210.
In the following table you can find the n-th root of 208 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 208.
Index Radicand Root Symbol Value
2 208 Square Root of 208 \sqrt[2]{208}
2
208
±14.4222051019
3 208 Cube Root of 208 \sqrt[3]{208}
3
208
5.9249921368
4 208 Forth Root of 208 \sqrt[4]{208}
4
208
±3.7976578442
5 208 Fifth Root of 208 \sqrt[5]{208}
5
208
2.9081223022
6 208 Sixth Root of 208 \sqrt[6]{208}
6
208
±2.4341306737
7 208 Seventh Root of 208 \sqrt[7]{208}
7
208
2.14364026
8 208 Eight Root of 208 \sqrt[8]{208}
8
208
±1.9487580261
9 208 Nineth Root of 208 \sqrt[9]{208}
9
208
1.8095166884
10 208 Tenth Root of 208 \sqrt[10]{208}
10
208
±1.7053217591
A few lines down from here we review the FAQs.
Square Root of Two Hundred Eight
If you have been searching for what's the square root of two hundred eight or 2nd root of 208, then you are reading the right post as well.
The same is true if you typed 2 root of 208 or 208 2 root in the search engine of your preference, just to name a few similar terms.
Ahead is the wrap-up of our information.
Summary
To sum up, the square roots of 208 are ±14.4222051019.
Finding the second root of the number 208 is the inverse operation of rising the \sqrt[2]{208}
2
208
to the power of 2. That is to say, (±14.4222051019)2 = 208.
Square Root of 208