What is 3/(\sqrt[4]{8)} ?

The solution to 3/(\sqrt[4]{8)} is (3\sqrt[4]{2})/2

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simplify 3/(\sqrt[4]{8)}

simplify

Decimal Notation

1.78381 \dots

Solution steps

Multiply by the conjugate

\frac{8 ^{\frac{3}{4}}}{8 ^{\frac{3}{4}}}

= \frac{3 \cdot 8 ^{\frac{3}{4}}}{8}

Factor

8^{\frac{3}{4}} : 2^{\frac{9}{4}}

Factor

8 : 2^{3}

= \frac{3 \cdot 2 ^{\frac{9}{4}}}{2 ^{3}}

Cancel

(\frac{8}{125})^{\frac{- 1}{3}}

\frac{1 - 4 i}{3 + i}

2 \cdot 1 0^{4} - 7^{3}

y^{2} + 5 y - 6

\frac{- 18}{- 9}