Square Root Simplifier with Steps
Enter the radicand.
RESULT
...
DESCRIPTIONS
The prime factorization of the radicand is
...
Next, we work on the factors of the radicand, one by one.
2^{3} can be written as 2^{2} . 2. In this expression, 2^{2} is a squared number. It can be taken out of the square root as 2. The other factor 2 is not a squared number.
...
Product of the factors in the square root is equal to the radicand of the simplified form.
...
As a result, ... is simplified to ....
OTHER INFORMATION
👉 ...
👉 ... is not a perfect square. (Click here for details.)
👉 ... is an irrational number.
👉 ... is between
👉 The closest integer to ... is
Simplifying a square root means taking all perfect square factors of the radicand out of the square root.
Assume
In the simplest form of a square root, the radicand does not have any squared factors. Squared factors of the radicand can be found by factorizing it. In the prime factorization of the radicand, any factor with an even power is a perfect square. Additionaly, any factor with an odd power greater than 1 can be written as a product of the prime factor with a perfect square. For example, 2^{7} can be written as 2 . 2^{6} where 2^{6} is a perfect square whose square root is equal to 2^{3}.
Square root simplifier,
You can use the square root simplifier in two ways.
You can enter the radicand to the input box and click on the "SIMPLIFY" button. The result and explanations appaer below the calculator
You can click on the DIE ICON next to the input box. If you use this property, a random number is generated and entered to the calculator, automatically. You can see the result and explanations below the calculator. You can create your own examples and practice using this property.
To check the simplest form of another square root you can clear the input box by clicking on the CLEAR button under the input box.
You can copy the generated solution by clicking on the "Copy Text" link, appaers under the solution panel.
Even you can download the solution as an image file with .jpg extension if you click on the "Download Solution" link at the bottom of the solution panel. You can share the downloaded image file.
Square Root Simplifier with Steps