Nth Root Calculator

Calculate the nth root of any number. Find square roots, cube roots, or any nth root.

परिणाम

3.00000000

Verification27.0000

सूत्र

## How to Calculate the Nth Root ### Formula **ⁿ√x = x^(1/n)** The nth root of x is the number that, when raised to the nth power, gives x. ### Common Roots - **Square root** (n=2): √x = x^(1/2) - **Cube root** (n=3): ∛x = x^(1/3) - **Fourth root** (n=4): ⁴√x = x^(1/4)

हल किया गया उदाहरण

Find the cube root of 27.

  1. 01∛27 = 27^(1/3)
  2. 02= 3
  3. 03Verification: 3³ = 27

अक्सर पूछे जाने वाले प्रश्न

What is an nth root?

The nth root of a number x is the value that, when multiplied by itself n times, equals x. For example, the 4th root of 16 is 2 because 2⁴ = 16.

How is nth root related to exponents?

Taking the nth root is the same as raising to the power 1/n. So ⁿ√x = x^(1/n).

Can you take the nth root of a negative number?

For odd values of n, yes. For example, ∛(-8) = -2. For even values of n, the nth root of a negative number is not a real number.

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