What is \sqrt[3]{324} ?

The solution to \sqrt[3]{324} is 3\sqrt[3]{12}

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simplify \sqrt[3]{324}

simplify

Decimal Notation

6.86828 \dots

Solution steps

Prime factorization of

324 : 2^{2} \cdot 3^{4}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

2^{2} \cdot 3^{4} = 2^{2} \cdot 3^{3} \cdot 3

Apply radical rule:

2^{2} = 4

Multiply the numbers:

4 \cdot 3 = 12

y^{2} - 10 y + 16

\frac{4 x}{x - 1} \cdot \frac{x ^{2} - 1}{3 x + 3}

x^{4} - 2 x^{2} y^{2} + y^{4}

x^{2} + 4 x + 4 = 16

\frac{53}{43} \cdot \frac{46 n ^{2}}{31}