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    Cube Root of 162

    Cube Root Calculator
    Cube root of

    What is the cube root of 162?

    Answer

    ∛162 =
    3∛6 ≈ 5.4514

    Real cube root: the only number whose cube is 162.

    ≈ — rounded to 4 decimal places. 162 is not the cube of a rational number, so ∛162 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    162 = 2 × (3 × 3 × 3) × 3 = 2 × 3⁴
    Take out of the root
    ∛162 = ∛(3³ × 6) = 3∛6
    Between cubes
    5³ = 125 < 162 < 216 = 6³, so 5 < ∛162 < 6 and ∛162 ≈ 5.4514

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    https://calculat.io/en/number/cube-root/162Copy
    <a href="https://calculat.io/en/number/cube-root/162">Cube Root of 162 (∛162): Exact Value and Decimal</a>Copy
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    Cube Root of 162 (∛162): Exact Value and Decimal. ∛162 = 3∛6 ≈ 5.4514. 162 = 3³ × 6, so 3 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/162/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    1522∛19 ≈ 5.3368
    157≈ 5.3947
    158≈ 5.4061
    1623∛6 ≈ 5.4514
    167≈ 5.5069
    169≈ 5.5288
    172≈ 5.5613
    Recalculate with different values ↑

    FAQ

    What is the cube root of 162?

    ∛162 = 3∛6 ≈ 5.4514

    How to simplify ∛162?

    Factor 162 into primes: 162 = 2 × 3 × 3 × 3 × 3. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛162 = ∛(3³ × 6) = 3∛6.

    Is ∛162 a rational number?

    No: 162 is not the cube of a rational number, and the cube root of a fraction p/q in lowest terms is rational only when p and q are both cubes. So ∛162 is irrational; its decimal never ends and never repeats: ∛162 ≈ 5.4514.

    See Also