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Nth Root of Number Calculator

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✖Number X is a real number that can be used for the calculation of general formulas of numbers.ⓘ Number X [X]			+10% -10%
✖Value of N is the value of the natural number or sometimes, in general, a real number given or required in the problem.ⓘ Value of N [n]			+10% -10%

✖Nth Root of Number is the number, which when multiplied by itself 'N' number of times or raised to the power of N, equals the given number.ⓘ Nth Root of Number [X^1/n]

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Nth Root of Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nth Root of Number = Number X^(1/Value of N)
X^1/n = X^(1/n)
This formula uses 3 Variables

Variables Used

Nth Root of Number - Nth Root of Number is the number, which when multiplied by itself 'N' number of times or raised to the power of N, equals the given number.
Number X - Number X is a real number that can be used for the calculation of general formulas of numbers.
Value of N - Value of N is the value of the natural number or sometimes, in general, a real number given or required in the problem.

STEP 1: Convert Input(s) to Base Unit

Number X: 25 --> No Conversion Required
Value of N: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

X^1/n = X^(1/n) --> 25^(1/4)

Evaluating ... ...

X^1/n = 2.23606797749979

STEP 3: Convert Result to Output's Unit

2.23606797749979 --> No Conversion Required

FINAL ANSWER

2.23606797749979 ≈ 2.236068 <-- Nth Root of Number

(Calculation completed in 00.020 seconds)

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Nth Root of Number Formula

LaTeX Go

Nth Root of Number = Number X^(1/Value of N)
X^1/n = X^(1/n)

What are conditions to find the Nth Root of a Number?

1) The number "x" must be positive if you want to find the nth root of it. This is because roots are only defined for positive numbers. For example, you can find the square root of 9 (which is 3), but you can't find the square root of -9.

2) The root degree "n" must be a positive integer. This means that you can find the square root, cube root, fourth root, etc. of a number, but you can't find the 1.5th root or the square root of a square root.

3) The value of "y" (the nth root) will always be positive if "x" is positive. For example, if you want to find the square root of 4, the answer will be 2, not -2.

How to Calculate Nth Root of Number?

Nth Root of Number calculator uses Nth Root of Number = Number X^(1/Value of N) to calculate the Nth Root of Number, Nth Root of Number formula is defined as the number, which when multiplied by itself 'N' number of times or raised to the power of N, equals the given number. Nth Root of Number is denoted by X^1/n symbol.

How to calculate Nth Root of Number using this online calculator? To use this online calculator for Nth Root of Number, enter Number X (X) & Value of N (n) and hit the calculate button. Here is how the Nth Root of Number calculation can be explained with given input values -> 2.236068 = 25^(1/4).

FAQ

What is Nth Root of Number?

Nth Root of Number formula is defined as the number, which when multiplied by itself 'N' number of times or raised to the power of N, equals the given number and is represented as X^1/n = X^(1/n) or Nth Root of Number = Number X^(1/Value of N). Number X is a real number that can be used for the calculation of general formulas of numbers & Value of N is the value of the natural number or sometimes, in general, a real number given or required in the problem.

How to calculate Nth Root of Number?

Nth Root of Number formula is defined as the number, which when multiplied by itself 'N' number of times or raised to the power of N, equals the given number is calculated using Nth Root of Number = Number X^(1/Value of N). To calculate Nth Root of Number, you need Number X (X) & Value of N (n). With our tool, you need to enter the respective value for Number X & Value of N and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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