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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?
In mathematics, a term used to express irrational radical with rational radicand is said to be 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 square roots that give irrational decimal values on simplifying.
Rules of Surds
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 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 |