The square root of 256 is the number, which multiplied by itself 2 times, is 256. In other words, this number to the power of 2 equals 256.Besides the real values ofalong with an explanation, on this page you can also find what the elements of the square root of 256 are called.In addition to the terminology, we have a calculator you don’t want to miss:
Calculator
²√256 = ±16This Square Root ⇄ Number Calculator is Really Cool! Click To Tweet If you have been looking for the square root of two hundred fifty-six, then you are right here, too.Second Root of 256
In this section we provide you with important additional information about the topic of this post:The term can be written as ²√256 or 256^1/2.As the index 2 is even and 256 is greater than 0, 256 has two real square roots:²√256, which is positive and called principal square root of 256, and -²√256 which is negative.Together, they are denominated as Although the principal square root of two hundred fifty-six is only one of the two square roots, the term “square root of 256” 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 256
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 256?
You already have the answer to that question, and you also know about the inverse operation of 256 square root.Keep reading to learn what the parts are called.- ²√256 is the square root of 256 symbol
- 2 is the index
- 256 = radicand; the radicand is the number below the radical sign
- Square root = ±16
- √ is called radical symbol or radical only
If you like our information about ²√256, then a similar square root you may be interested in is, for example: square root of 258.
In the following table you can find the n-th root of 256 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 256.| 2 | 256 | Square Root of 256 | ²√256 | ±16 |
| 3 | 256 | Cube Root of 256 | ³√256 | 6.3496042079 |
| 4 | 256 | Forth Root of 256 | ⁴√256 | ±4 |
| 5 | 256 | Fifth Root of 256 | ⁵√256 | 3.031433133 |
| 6 | 256 | Sixth Root of 256 | ⁶√256 | ±2.5198420998 |
| 7 | 256 | Seventh Root of 256 | ⁷√256 | 2.2081790273 |
| 8 | 256 | Eight Root of 256 | ⁸√256 | ±2 |
| 9 | 256 | Nineth Root of 256 | ⁹√256 | 1.8517494246 |
| 10 | 256 | Tenth Root of 256 | ¹⁰√256 | ±1.7411011266 |
Square Root of Two Hundred Fifty-Six
If you have been searching for what’s the square root of two hundred fifty-six or 2nd root of 256, then you are reading the right post as well.The same is true if you typed 2 root of 256 or 256 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 256
Click on the question which is of interest to you to see the collapsible content answer.256 has two real square roots, because the radicand 256 is positive and the index 2 is even.
The square root of 256 to the power of 2 equals 256.
Start with an initial guess such that 2 times that value equals approximately 256, then keep improving the guess until you have the required precision.
256 to the square root = 256^1/2 = ±16.
The square root of 256 = ±16.
To compute the 2nd root of 256 use a calculator, and/or employ the Newton–Raphson method.
The value of 2 root 256 is ±16.
Ahead is the wrap-up of our information.
Summary
To sum up, the square roots of 256 are ±16; the positive real value is the principal.Finding the second root of the number 256 is the inverse operation of rising the ²√256 to the power of 2. That is to say, (±16)2 = 256.
Further information about the root of a number like ²√256 can be found on our page n-th Root.Note that you can also locate roots of real numbers such as ²√256 by means of the search form in the menu and in the sidebar of this site.If our article about the square √ 256 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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Sqrt(256). Find the square root of 256 or any other real number, positive or negative. Here are the answers to questions like: Square root of 256 or what is the square root of 256?
A square root of a number 'x' is a number y such that y2 = x, in other words, a number y whose square is y. For example, 16 is the square root of 256 because 162 = 16•16 = 256, -16 is square root of 256 because (-16)2 = (-16)•(-16) = 256. When writing math, people often use sqrt(x) to mean the square root of x. Read more about square root here: Square Root - Wikipedia and here: Square Root - Wolfram
Here is the square root symbol. It is is denoted by √, known as the radical sign or radix.
Square roots from 1 to 100 rounded to the nearest thousandth.
| 1 | 1 | 1.000 |
| 2 | 4 | 1.414 |
| 3 | 9 | 1.732 |
| 4 | 16 | 2.000 |
| 5 | 25 | 2.236 |
| 6 | 36 | 2.449 |
| 7 | 49 | 2.646 |
| 8 | 64 | 2.828 |
| 9 | 81 | 3.000 |
| 10 | 100 | 3.162 |
| 11 | 121 | 3.317 |
| 12 | 144 | 3.464 |
| 13 | 169 | 3.606 |
| 14 | 196 | 3.742 |
| 15 | 225 | 3.873 |
| 16 | 256 | 4.000 |
| 17 | 289 | 4.123 |
| 18 | 324 | 4.243 |
| 19 | 361 | 4.359 |
| 20 | 400 | 4.472 |
| 21 | 441 | 4.583 |
| 22 | 484 | 4.690 |
| 23 | 529 | 4.796 |
| 24 | 576 | 4.899 |
| 25 | 625 | 5.000 |
| 26 | 676 | 5.099 |
| 27 | 729 | 5.196 |
| 28 | 784 | 5.292 |
| 29 | 841 | 5.385 |
| 30 | 900 | 5.477 |
| 31 | 961 | 5.568 |
| 32 | 1,024 | 5.657 |
| 33 | 1,089 | 5.745 |
| 34 | 1,156 | 5.831 |
| 35 | 1,225 | 5.916 |
| 36 | 1,296 | 6.000 |
| 37 | 1,369 | 6.083 |
| 38 | 1,444 | 6.164 |
| 39 | 1,521 | 6.245 |
| 40 | 1,600 | 6.325 |
| 41 | 1,681 | 6.403 |
| 42 | 1,764 | 6.481 |
| 43 | 1,849 | 6.557 |
| 44 | 1,936 | 6.633 |
| 45 | 2,025 | 6.708 |
| 46 | 2,116 | 6.782 |
| 47 | 2,209 | 6.856 |
| 48 | 2,304 | 6.928 |
| 49 | 2,401 | 7.000 |
| 50 | 2,500 | 7.071 |
| 51 | 2,601 | 7.141 |
| 52 | 2,704 | 7.211 |
| 53 | 2,809 | 7.280 |
| 54 | 2,916 | 7.348 |
| 55 | 3,025 | 7.416 |
| 56 | 3,136 | 7.483 |
| 57 | 3,249 | 7.550 |
| 58 | 3,364 | 7.616 |
| 59 | 3,481 | 7.681 |
| 60 | 3,600 | 7.746 |
| 61 | 3,721 | 7.810 |
| 62 | 3,844 | 7.874 |
| 63 | 3,969 | 7.937 |
| 64 | 4,096 | 8.000 |
| 65 | 4,225 | 8.062 |
| 66 | 4,356 | 8.124 |
| 67 | 4,489 | 8.185 |
| 68 | 4,624 | 8.246 |
| 69 | 4,761 | 8.307 |
| 70 | 4,900 | 8.367 |
| 71 | 5,041 | 8.426 |
| 72 | 5,184 | 8.485 |
| 73 | 5,329 | 8.544 |
| 74 | 5,476 | 8.602 |
| 75 | 5,625 | 8.660 |
| 76 | 5,776 | 8.718 |
| 77 | 5,929 | 8.775 |
| 78 | 6,084 | 8.832 |
| 79 | 6,241 | 8.888 |
| 80 | 6,400 | 8.944 |
| 81 | 6,561 | 9.000 |
| 82 | 6,724 | 9.055 |
| 83 | 6,889 | 9.110 |
| 84 | 7,056 | 9.165 |
| 85 | 7,225 | 9.220 |
| 86 | 7,396 | 9.274 |
| 87 | 7,569 | 9.327 |
| 88 | 7,744 | 9.381 |
| 89 | 7,921 | 9.434 |
| 90 | 8,100 | 9.487 |
| 91 | 8,281 | 9.539 |
| 92 | 8,464 | 9.592 |
| 93 | 8,649 | 9.644 |
| 94 | 8,836 | 9.695 |
| 95 | 9,025 | 9.747 |
| 96 | 9,216 | 9.798 |
| 97 | 9,409 | 9.849 |
| 98 | 9,604 | 9.899 |
| 99 | 9,801 | 9.950 |
| 100 | 10,000 | 10.000 |
| 252 | 15.875 |
| 253 | 15.906 |
| 254 | 15.937 |
| 255 | 15.969 |
| 257 | 16.031 |
| 258 | 16.062 |
| 259 | 16.093 |
| 260 | 16.125 |
| 261 | 16.155 |