Fifth Roots Calculator

Fifth Roots Calculator

x5=?\sqrt[5]{32} = 2
x=

How the Updated Calculator Works:

  1. Handling Negative Numbers: The fifth root of a negative number is calculated by taking the absolute value of the radicand and then applying the root, followed by multiplying the result by -1 (for odd roots like fifth root).

  2. Formula for Calculation:

    • For positive xx: x5=x1/5\sqrt[5]{x} = x^{1/5}
    • For negative xx: x5=x5\sqrt[5]{x} = -\sqrt[5]{|x|}

Example Calculations:

  1. For x=32x = 32:

    325=2\sqrt[5]{32} = 2

    Result: “The fifth root of 32 is 2.”

  2. For x=32x = -32:

    325=2\sqrt[5]{-32} = -2

    Result: “The fifth root of -32 is -2.”

  3. For x=40x = 40:

    4052.114742\sqrt[5]{40} \approx 2.114742

    Result: “The fifth root of 40 is approximately 2.114742.”

  4. For x=40x = -40:

    4052.114742\sqrt[5]{-40} \approx -2.114742

    Result: “The fifth root of -40 is approximately -2.114742.”

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