When to use this calculator
An nth root reverses raising to a power. A fifth root asks which non-negative number, multiplied by itself five times, gives the input.
Explore the algebra & number calculators for other questions in this topic. For a related calculation, use the Pair Count Calculator: Count handshakes or unique pairings among distinct participants.
PUTTING IT INTO PRACTICE
Nth Root: a worked example
The values below are an illustrative example, not a recommendation. Replace them with measurements or assumptions that match your question.
| Input | Example value |
|---|---|
| Number | 32 |
| Root index (integer) | 5 |
| Result | 2 |
- Check the input labels and enter the example values above.
- Apply the relationship: Root = number^(1/index).
- The result is 2 , rounded for display.
How to interpret your result
This real-valued tool accepts non-negative numbers and positive whole-number root indices.
Identify whether the question asks for one term, a total or a count of possible selections. Sequences use a fixed difference or ratio. In counting problems, order and replacement determine the correct model.
Frequently asked questions
Do combinations and permutations count the same thing?
No. Combinations ignore the order of selection; permutations count different orders separately.
When is the nth root calculator useful?
An nth root reverses raising to a power. A fifth root asks which non-negative number, multiplied by itself five times, gives the input.
How do I use the nth root calculator?
Enter number, root index (integer). The result updates automatically. Use the units shown beside each input; the example values illustrate the method.
Which formula does this calculator use?
Root = number^(1/index).
What should I check before using the result?
This real-valued tool accepts non-negative numbers and positive whole-number root indices.
How are results rounded?
Scalar numbers display up to six decimal places, with scientific notation for very large or small values. Text, fraction, date and schedule outputs use the format described on the tool. Intermediate calculations use JavaScript floating-point arithmetic. Keep sensible precision for your measurements.
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