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Square Root of 47


The square root of 47 is the number, which multiplied by itself 2 times, is 47. In other words, this number to the power of 2 equals 47.

Besides the real values of


along with an explanation, on this page you can also find what the elements of the square root of 47 are called.

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

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²√47 = ±6.8556546004
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If you have been looking for the square root of forty-seven, then you are right here, too.

Second Root of 47

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

The term can be written as ²√47 or 47^1/2.

As the index 2 is even and 47 is greater than 0, 47 has two real square roots:

²√47, which is positive and called principal square root of 47, and -²√47 which is negative.

Together, they are denominated as


Although the principal square root of forty-seven is only one of the two square roots, the term “square root of 47” 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 47

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 47?

You already have the answer to that question, and you also know about the inverse operation of 47 square root.

Keep reading to learn what the parts are called.
  • ²√47 is the square root of 47 symbol
  • 2 is the index
  • 47 = radicand; the radicand is the number below the radical sign
  • Square root = ±6.8556546004
  • √ is called radical symbol or radical only
Second root of 47 = ±6.8556546004

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

Now you really know all about ²√47, 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. 47); the calculation is done automatically.

If you like our information about ²√47, then a similar square root you may be interested in is, for example: square root of 49.

In the following table you can find the n-th root of 47 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 47.
IndexRadicandRootSymbolValue
247Square Root of 47²√47±6.8556546004
347Cube Root of 47³√473.6088260801
447Forth Root of 47⁴√47±2.6183304987
547Fifth Root of 47⁵√472.1598300118
647Sixth Root of 47⁶√47±1.8996910486
747Seventh Root of 47⁷√471.7332895656
847Eight Root of 47⁸√47±1.6181256128
947Nineth Root of 47⁹√471.5338703442
1047Tenth Root of 47¹⁰√47±1.4696360134
A few lines down from here we review the FAQs.

Square Root of Forty-Seven

If you have been searching for what’s the square root of forty-seven or 2nd root of 47, then you are reading the right post as well.

The same is true if you typed 2 root of 47 or 47 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 47

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

How Many Real Square Roots Does 47 Have?

47 has two real square roots, because the radicand 47 is positive and the index 2 is even.

What to the Second Power Equals 47?

The square root of 47 to the power of 2 equals 47.

How Do You Find the Square Root of 47?

Start with an initial guess such that 2 times that value equals approximately 47, then keep improving the guess until you have the required precision.

What is 47 to the Square Root?

47 to the square root = 47^1/2 = ±6.8556546004.

What Number is the Square Root of 47?

The square root of 47 = ±6.8556546004.

How Do You Solve the Square Root of 47?

To compute the 2nd root of 47 use a calculator, and/or employ the Newton–Raphson method.

What is the Value of 2 Root 47?

The value of 2 root 47 is ±6.8556546004.

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 47 are ±6.8556546004; the positive real value is the principal.

Finding the second root of the number 47 is the inverse operation of rising the ²√47 to the power of 2. That is to say, (±6.8556546004)2 = 47.


Further information about the root of a number like ²√47 can be found on our page n-th Root.

Note that you can also locate roots of real numbers such as ²√47 by means of the search form in the menu and in the sidebar of this site.

If our article about the square √ 47 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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