vereinfachen (\sqrt[6]{20})/(\sqrt[4]{10)}

Lösung

vereinfachen

\frac{6 20}{4 10}

\frac{12 2}{12 5}

Dezimale

0.92648 \dots

Schritte zur Lösung

\frac{6 20}{4 10}

Wende Radikal Regel an:

n a = a^{\frac{1}{n}}

620 = 2 0^{\frac{1}{6}}

= \frac{2 0 ^{\frac{1}{6}}}{4 10}

Wende Radikal Regel an:

n a = a^{\frac{1}{n}}

410 = 1 0^{\frac{1}{4}}

= \frac{2 0 ^{\frac{1}{6}}}{1 0 ^{\frac{1}{4}}}

Faktorisiere

2 0^{\frac{1}{6}} : 1 0^{\frac{1}{6}} \cdot 2^{\frac{1}{6}}

= \frac{1 0 ^{\frac{1}{6}} \cdot 2 ^{\frac{1}{6}}}{1 0 ^{\frac{1}{4}}}

Vereinfache

\frac{1 0 ^{\frac{1}{6}}}{1 0 ^{\frac{1}{4}}} : \frac{1}{12 10}

= \frac{2 ^{\frac{1}{6}}}{12 10}

Faktorisiere

1210 : 122125

= \frac{2 ^{\frac{1}{6}}}{12 2 12 5}

Wende Radikal Regel an:

n a = a^{\frac{1}{n}}

122 = 2^{\frac{1}{12}}

= \frac{2 ^{\frac{1}{6}}}{2 ^{\frac{1}{12}} 12 5}

Vereinfache

\frac{2 ^{\frac{1}{6}}}{2 ^{\frac{1}{12}}} : 122

= \frac{12 2}{12 5}

s im pl i f y \frac{7 2 ^{\frac{1}{2}}}{2 ^{\frac{1}{2}}}

1 \frac{1}{4} \div 5

f a c t or + 4 a + b - 12 a^{2} - 3 ab

s im pl i f y 20.25 - 9 \frac{1}{2} + 11

s im pl i f y 56 \times 8