What is \sqrt[3]{2000} ?

The solution to \sqrt[3]{2000} is 10\sqrt[3]{2}

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simplify \sqrt[3]{2000}

simplify

Decimal Notation

12.59921 \dots

Solution steps

Prime factorization of

2000 : 2^{4} \cdot 5^{3}

Apply exponent rule:

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

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

Apply radical rule:

Multiply the numbers:

2 \cdot 5 = 10

(x^{2} - 6 x + 9)^{2}

\frac{v - 5}{v ^{2} - 10 v + 25}

\frac{2 a x + 4 b x}{3 a y + 6 b y}

\frac{x}{x ^{2} - 1}

\frac{- 8 a ^{2} x ^{3}}{- 8 a ^{2} x ^{3}}