Beta version#
BETA TEST VERSION OF THIS ITEM
This online calculator is currently under heavy development. It may or it may NOT work correctly.
You CAN try to use it. You CAN even get the proper results.
However, please VERIFY all results on your own, as the level of completion of this item is NOT CONFIRMED.
Feel free to send any ideas and comments !
This online calculator is currently under heavy development. It may or it may NOT work correctly.
You CAN try to use it. You CAN even get the proper results.
However, please VERIFY all results on your own, as the level of completion of this item is NOT CONFIRMED.
Feel free to send any ideas and comments !
Symbolic algebra
ⓘ Hint: This calculator supports symbolic math. You can enter numbers, but also symbols like a, b, pi or even whole math expressions such as (a+b)/2. If you still don't sure how to make your life easier using symbolic algebra check out our another page: Symbolic calculations
Input data  expression under the root (radicand)#
Root radicand expression (expression under the root) 
Results  your root in the simplest form#
Square, which you enter  
Show source$\sqrt{8}$  
Root in the simplest form  
Show source$2 \cdot \sqrt{2}$  
Root simplification stepbystep  

Some facts#
 Root extraction is an operation inverse to exponentiation.
 The root of nth degree from the number x is equal to y when y raised to the nth power gives x:
$\sqrt[n]{x} = y \Leftrightarrow y^{n} = x$where:
 $n$  root degree,
 $x$  root argument (number under root function),
 $y$  root result (a number, that gives an root argument if raised to root degree).
 The root of degree 2 is colloquially called the square root. It has been assumed that we can omit degree while writing square root symbol:
$\sqrt{x} = \sqrt[2]x$  The root of degree 3 is colloqually called the cubic root.
 The root from product is equal to the product of roots:
$\sqrt[n]{x y} = \sqrt[n]{x} \cdot \sqrt[n]{y}$  The root from quotient is equal to quotient of roots:
$\sqrt[n]{\frac{x}{y}} = \frac{\sqrt[n]{x}}{\sqrt[n]{y}}$  In order to render the root symbol $\sqrt[n]{x}$ in the $\TeX$ language use command:
\sqrt[n]{x}
 If you want to learn more about how to write different mathematical expressions, you can check out our other calculator: Quick TeX cheat sheet.
Tags and links to this website#
Tags:
root · square_root · root_extraction · sqrt_x · simplest_root_form · root_calculator · square_root_calculator
Tags to Polish version:
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