vereinfachen sqrt(x)*\sqrt[3]{x}

Lösung

vereinfachen

x \cdot 3 x

6 x^{5}

Schritte zur Lösung

x 3 x

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

3 x = x^{\frac{1}{3}}

= x^{\frac{1}{2}} x^{\frac{1}{3}}

Wende Exponentenregel an:

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

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

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

\frac{1}{2} + \frac{1}{3} = \frac{5}{6}

= x^{\frac{5}{6}}

x^{\frac{5}{6}} = 6 x^{5}

= 6 x^{5}

3 x^{2} + 3 x - 4 = 0

3 x^{2} + 5 x + 1 = 0

x^{2} - 8 x = 10

x^{2} - 8 x + 40 = 0

18 m^{2} + 12 m + 1997 = 0