Surd Form Calculator

Surd Form Calculator

Surds calculator/simplifier is a mathematical tool related to roots. It is devised to tell if a root is surd or not. 

How to use the surd calculator?

Follow the steps written ahead to use this tool.

1. Input the root value e.g 4√.
2. Input the number e.g √78.
3. Press “Enter”

The calculator will tell the result. Reset the tool to use again.

What is a surd?

Such a whole number, which when solved for its under root, does not give an exact value. For example:

 In other words, surds are such square roots that give irrational decimal values on simplifying.

How to identify the surds?

To identify the surd numbers you need to simplify them. If a root on simplification gives a rational number then it is not a surd and vice versa.

You can use the surd form calculator to avoid simplification. 

Example: 

Tell whether these numbers are surds or not.

 √35, √50, 5√243

Solution:

1. √35 = 5.9160… (irrational) so it is a surd.
2. √50 = 7.0710… (irrational) it is a surd.
3. 5√243 = 3 (rational) it is not a surd.

See more surd examples in the table below.