What is \sqrt[3]{800} ?

The solution to \sqrt[3]{800} is 2\sqrt[3]{100}

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simplify \sqrt[3]{800}

simplify

Decimal Notation

9.28317 \dots

Solution steps

Prime factorization of

800 : 2^{5} \cdot 5^{2}

Apply exponent rule:

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

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

Apply radical rule:

2^{2} = 4

5^{2} = 25

Multiply the numbers:

4 \cdot 25 = 100

\frac{2 x}{3} - x = \frac{x}{6} - \frac{5}{2}

5 z^{2} + 14 z - 3

2 x + 5 x + 5 = 180

2 \cdot \frac{3}{5} \cdot \frac{4}{5}

9 \cdot 1 0^{- 5}