Table of Contents
The square root of 37 is the number, which multiplied by itself 2 times, is 37. In other words, this number to the power of 2 equals 37.
Besides the real values of
along with an explanation, on this page you can also find what the elements of the square root of 37 are called.
In addition to the terminology, we have a calculator you don’t want to miss:
Calculator
Second Root of 37
In this section we provide you with important additional information about the topic of this post:
The term can be written as ²√37 or 37^1/2.
As the index 2 is even and 37 is greater than 0, 37 has two real square roots:
²√37, which is positive and called principal square root of 37, and -²√37 which is negative.
Together, they are denominated as
Although the principal square root of thirty-seven is only one of the two square roots, the term “square root of 37” usually refers to the positive number, that is the principal square root.
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 37
Extracting the square root is the inverse operation of ^2:
In the following paragraph, we are going to name the elements of this √.
What is the Square Root of 37?
You already have the answer to that question, and you also know about the inverse operation of 37 square root.
Keep reading to learn what the parts are called.
- ²√37 is the square root of 37 symbol
- 2 is the index
- 37 = radicand; the radicand is the number below the radical sign
- Square root = ±6.0827625303
- √ is called radical symbol or radical only
Second root of 37 = ±6.0827625303
As a sidenote: All values on this page have been rounded to ten decimal places.
Now you really know all about ²√37, 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. 37); the calculation is done automatically.
If you like our information about ²√37, then a similar square root you may be interested in is, for example: square root of 39.
In the following table you can find the n-th root of 37 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 37.
| Index | Radicand | Root | Symbol | Value |
|---|---|---|---|---|
| 2 | 37 | Square Root of 37 | ²√37 | ±6.0827625303 |
| 3 | 37 | Cube Root of 37 | ³√37 | 3.3322218516 |
| 4 | 37 | Forth Root of 37 | ⁴√37 | ±2.4663257146 |
| 5 | 37 | Fifth Root of 37 | ⁵√37 | 2.0589241365 |
| 6 | 37 | Sixth Root of 37 | ⁶√37 | ±1.8254374412 |
| 7 | 37 | Seventh Root of 37 | ⁷√37 | 1.675054021 |
| 8 | 37 | Eight Root of 37 | ⁸√37 | ±1.5704539836 |
| 9 | 37 | Nineth Root of 37 | ⁹√37 | 1.4936355304 |
| 10 | 37 | Tenth Root of 37 | ¹⁰√37 | ±1.4348951657 |
A few lines down from here we review the FAQs.
Square Root of Thirty-Seven
If you have been searching for what’s the square root of thirty-seven or 2nd root of 37, then you are reading the right post as well.
The same is true if you typed 2 root of 37 or 37 2 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.
We are constantly trying to improve our site, and truly appreciate your feedback.
Ahead is the wrap-up of our information.
Summary
To sum up, the square roots of 37 are ±6.0827625303; the positive real value is the principal.
Finding the second root of the number 37 is the inverse operation of rising the ²√37 to the power of 2. That is to say, (±6.0827625303)2 = 37.
Further information about the root of a number like ²√37 can be found on our page n-th Root.
Note that you can also locate roots of real numbers such as ²√37 by means of the search form in the menu and in the sidebar of this site.
If our article about the square √ 37 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 square roots is perfect square. We tell you everything about perfect squares in our article Square Numbers.
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– Article written by Mark, last updated on November 26th, 2023