What is 1/(\sqrt[3]{25)} ?

The solution to 1/(\sqrt[3]{25)} is (\sqrt[3]{5})/5

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simplify 1/(\sqrt[3]{25)}

simplify

Decimal Notation

0.34199 \dots

Solution steps

Multiply by the conjugate

\frac{2 5 ^{\frac{2}{3}}}{2 5 ^{\frac{2}{3}}}

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

= \frac{2 5 ^{\frac{2}{3}}}{25}

Factor

2 5^{\frac{2}{3}} : 5^{\frac{4}{3}}

Factor

25 : 5^{2}

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

Cancel

10 \cdot (- 5)

\frac{- 3 ( y ^{- 2} ) ^{3}}{5 y ^{2}}

(3 x + 5) (x + 2)

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