simplify \sqrt[3]{64/216} — step-by-step solution

Let's reduce:

\sqrt[3]{\frac{64}{216}}

ⓘ We simplify the fraction by dividing the numerator and the denominator by

8

, their greatest common divisor:

\frac{64}{216}

\frac{8 \times 8}{27 \times 8}

\frac{8}{27}

\sqrt[3]{\frac{8}{27}}

ⓘ On the real domain of the expression, use the property of roots of order

3

\sqrt[3]{\frac{a}{b}} = \frac{\sqrt[3]{a}}{\sqrt[3]{b}}

\sqrt[3]{\frac{8}{27}}

\frac{\sqrt[3]{8}}{\sqrt[3]{27}}

\frac{\sqrt[3]{8}}{\sqrt[3]{27}}

ⓘ The root of order

3

is the number whose power

3

equals the radicand:

\sqrt[3]{8}

2

;

2^{3}

8

\sqrt[3]{27}

3

;

3^{3}

27

▶Simplified form:

\frac{2}{3}

The numeric value of:

\frac{2}{3}

is:

▷

\approx 0.6667