What is \sqrt[3]{6000} ?

The solution to \sqrt[3]{6000} is 10\sqrt[3]{6}

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simplify \sqrt[3]{6000}

simplify

Solution steps

Prime factorization of

6000 : 2^{4} \cdot 3 \cdot 5^{3}

Apply exponent rule:

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

2^{4} \cdot 3 \cdot 5^{3} = 2^{3} \cdot 2 \cdot 3 \cdot 5^{3}

Apply radical rule:

Multiply the numbers:

2 \cdot 5 = 10

Multiply the numbers:

2 \cdot 3 = 6

792

\frac{5 x ^{3} - 9 x + 4}{x ^{2} - 3 x + 2}

8.9

2 \cdot \frac{8}{5}

\frac{2 x ^{2} - 32}{3 x ^{2} + 14 x + 8}