Square Root of 400

The square root of 400 is the number, which multiplied by itself, is 400. In other words, the square of this number equals four hundred. If you have been looking for square root of four hundred, then you are right here, too. On this page you can also find what the parts of √400 are called, and in addition to the terminology of √400, we also have a calculator you don’t want to miss. Read on to learn everything about the sqrt 400.\[\sqrt{400}= \pm 20\]

Extracting the root is the inverse operation of ^2:\[\sqrt[2]{400}\times \sqrt[2]{400}= \sqrt[2]{400}^{2}= 400\]

The term can be written as \[\sqrt{400} \hspace{3 mm}or\hspace{3 mm} \sqrt[2]{400}\]

Like any positive number, the number 400 has two square roots: $\sqrt[2]{400}$, which is positive and called principal square root of 400, and −$\sqrt[2]{400}$, which is negative.

Together, they are denominated as ± $\sqrt[2]{400}$.

Although the principal square root of four hundred is only one of the two square roots, the term “square root of 400” usually refers to the positive number.

If you want to know how to find the square root of 400, then read our article square root which you can find in the header menu.

Here’s the cube root of 400.

What is the Square Root of 400

You already have the answer to what is the square root of 400, and you also know about the inverse operation of 400 square root. Keep reading to learn what the parts of √400 are called.

$\sqrt[n]{a}= b$
n = index, 2 is the index.
a = radicand, the radicand is the number below the radical sign, 400 is the radicand here.
b = root = ±20
√ is called radical symbol or radical only.

$\sqrt[2]{400}= \pm 20$

Now you really know all about √400, including its values, parts and the inverse. If you like to learn the square root of any other number use our calculator below. Simply insert the number of which you like to find the square root (e.g. 400); the calculation is done automatically.

Calculate Square Root


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Besides √400, other square roots on this site include, for example:

Square Root of 400

Square Root of Four Hundred

If you have been searching for whats the square root of 400 or square root 400, then you have visited the right post as well.

The same is true if you typed sq root of 400 or 400 root in the search engine of your preference, just to name a few similar terms.

To sum up, \[\sqrt{400}= \pm 20\]

The negative square root of 400 is -20, and the positive sqrt 400 is 20. Make sure to understand that √400 and 400 squared, 400 x 400 = 160000, are not the same.

Finding the square root of the number 400 is the inverse operation of squaring the √400. In other words (±20)2 = 400.

Further information related to √400 can be found on our page square root. Note that you can also obtain roots like √400 by means of the search form in the menu and sidebar of this site.

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