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Surd Form Calculator
To know if a number is surd or not, enter it in the 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.
- Input the root value e.g 4√.
- Input the number e.g √78.
- 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:
- √35 = 5.9160… (irrational) so it is a surd.
- √50 = 7.0710… (irrational) it is a surd.
- 5√243 = 3 (rational) it is not a surd.
See more surd examples in the table below.
Number | Simple form | Decimal form | Is it Surd? |
√2 | √2 | 1.4142135... | Surd |
√3 | √3 | 1.7320508... | Surd |
√4 | 2 | 2 | Not a surd |
√¼ | ½ | 0.5 | Not a surd |
3√11 | 3√11 | 2.2239800... | Surd |
3√27 | 3 | 3 | Not a surd |
5√3 | 5√3 | 1.2457309... | Surd |