Root Calculator
Calculate square root, cube root, and nth root of any number.
Root Calculator
Calculate square root, cube root, and nth root of any number.
Basic Arithmetic Operations
ℹ️ Division by zero is mathematically undefined
Disclaimer
Results provided by this calculator are for informational and educational purposes only. They are based on the values you enter and standard formulas, and should not be considered financial, medical, legal, or professional advice. Always consult a qualified professional before making important decisions based on these results. Roughtools makes no warranties regarding the accuracy or completeness of these calculations for your specific situation.
Frequently Asked Questions
Pro Tips
For percentage calculations, convert the percentage to a decimal first (divide by 100) — this prevents calculation errors: 15% = 0.15, so 15% of 80 = 0.15 × 80 = 12.
When working with large numbers, use scientific notation to check your work. A calculator result that's off by a factor of 10 usually means a decimal point was misplaced.
Standard deviation close to zero means data is clustered tightly around the mean. High SD means high variability. Always report both mean and SD together for complete information.
Cross-check critical calculations with a different method or tool. For geometry, verify with the Pythagorean theorem. For statistics, verify mean with (max+min)/2 as a sanity check.
When to Use This Calculator
Calculate area for flooring, paint coverage, or fencing before purchasing materials.
Verify calculations and practice working through problems step by step.
Calculate room dimensions, wall area, or volume of materials needed for renovation projects.
Quick calculations for engineering problems where precision is needed before formal computation.
Calculate discounts, percentage savings, or unit price comparisons while shopping.
About the Root Calculator
This root calculator computes the square root (√), cube root (∛), and any nth root of any positive number, returning both the exact form (when the result is rational) and a decimal approximation. Also handles negative numbers for odd roots and shows whether a result is rational or irrational. Built for students working through algebra, calculus pre-requisites, and anyone who needs fast root calculations.
How to Use the Root Calculator
- 1
Enter the number you want to find the root of.
- 2
Select the root type: square root (n=2), cube root (n=3), or custom nth root.
- 3
For custom roots, enter the value of n (the root degree).
- 4
See the exact result and decimal approximation instantly.
- 5
For negative inputs, the calculator handles odd roots and flags complex results for even roots.
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