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Square Root of 50


The square root of 50 is the number, which multiplied by itself 2 times, is 50. In other words, this number to the power of 2 equals 50.

Besides the real values of


along with an explanation, on this page you can also find what the elements of the square root of 50 are called.

In addition to the terminology, we have a calculator you don’t want to miss:

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²√50 = ±7.0710678119
This Square Root ⇄ Number Calculator is Really Cool! Click To TweetIf you have been looking for the square root of fifty, then you are right here, too.

Second Root of 50

In this section we provide you with important additional information about the topic of this post:

The term can be written as ²√50 or 50^1/2.

As the index 2 is even and 50 is greater than 0, 50 has two real square roots:

²√50, which is positive and called principal square root of 50, and -²√50 which is negative.

Together, they are denominated as


Although the principal square root of fifty is only one of the two square roots, the term “square root of 50” 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 50

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 50?

You already have the answer to that question, and you also know about the inverse operation of 50 square root.

Keep reading to learn what the parts are called.
  • ²√50 is the square root of 50 symbol
  • 2 is the index
  • 50 = radicand; the radicand is the number below the radical sign
  • Square root = ±7.0710678119
  • √ is called radical symbol or radical only
Second root of 50 = ±7.0710678119

As a sidenote: All values on this page have been rounded to ten decimal places.

Now you really know all about ²√50, 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. 50); the calculation is done automatically.

If you like our information about ²√50, then a similar square root you may be interested in is, for example: square root of 52.

In the following table you can find the n-th root of 50 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 50.
IndexRadicandRootSymbolValue
250Square Root of 50²√50±7.0710678119
350Cube Root of 50³√503.6840314986
450Forth Root of 50⁴√50±2.6591479485
550Fifth Root of 50⁵√502.1867241479
650Sixth Root of 50⁶√50±1.9193831037
750Seventh Root of 50⁷√501.7486786216
850Eight Root of 50⁸√50±1.630689409
950Nineth Root of 50⁹√501.5444521049
1050Tenth Root of 50¹⁰√50±1.4787576366
A few lines down from here we review the FAQs.

Square Root of Fifty

If you have been searching for what’s the square root of fifty or 2nd root of 50, then you are reading the right post as well.

The same is true if you typed 2 root of 50 or 50 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 50

Click on the question which is of interest to you to see the collapsible content answer.

How Many Real Square Roots Does 50 Have?

50 has two real square roots, because the radicand 50 is positive and the index 2 is even.

What to the Second Power Equals 50?

The square root of 50 to the power of 2 equals 50.

How Do You Find the Square Root of 50?

Start with an initial guess such that 2 times that value equals approximately 50, then keep improving the guess until you have the required precision.

What is 50 to the Square Root?

50 to the square root = 50^1/2 = ±7.0710678119.

What Number is the Square Root of 50?

The square root of 50 = ±7.0710678119.

How Do You Solve the Square Root of 50?

To compute the 2nd root of 50 use a calculator, and/or employ the Newton–Raphson method.

What is the Value of 2 Root 50?

The value of 2 root 50 is ±7.0710678119.

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 50 are ±7.0710678119; the positive real value is the principal.

Finding the second root of the number 50 is the inverse operation of rising the ²√50 to the power of 2. That is to say, (±7.0710678119)2 = 50.


Further information about the root of a number like ²√50 can be found on our page n-th Root.

Note that you can also locate roots of real numbers such as ²√50 by means of the search form in the menu and in the sidebar of this site.

If our article about the square √ 50 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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