Nth Root Calculator

What is the Nth Root Calculator?

Calculate the nth root of a number for any index n. The nth root reverses raising a number to the nth power, and it appears in growth rates, scaling and geometry.

How to use the Nth Root Calculator

1. Enter your number, your root.
2. Results update automatically as you type; you can also press Calculate.
3. Read the output: nth root.
4. Use the 📊 chart to see the result visually, then copy or share it.

Formula and method

Worked example

With number = 1,024, root = 5, the Nth Root Calculator returns nth root: 4.

Where the Nth Root Calculator helps in real life

An analyst knows sales grew by a factor of 1.61 over five years and wants the yearly growth factor. The fifth root gives about 1.10, or 10% a year.

A student needs the fourth root of 81 for a homework problem. The calculator gives 3 and confirms it is exact.

Common mistakes to avoid

• Taking an even root of a negative number.
• Confusing the root index with the exponent.
• Rounding the answer before checking it.
• Forgetting that the nth root equals raising to the power 1/n.

💡 Practical tip: Even roots of negative numbers are not real numbers, but odd roots are — the cube root of −27 is −3.

Tips for better results

• Check the answer by raising it to the nth power.
• Use odd roots for negative numbers.
• Keep full precision until the final step.

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