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Beliebt Algebra >

vereinfachen sqrt(3)*\sqrt[4]{3}

Lösung

vereinfachen

3 \cdot 43

Lösung

4 3^{3}

+1

Dezimale

2.27950 \dots

Schritte zur Lösung

343

Wende Radikal Regel an:

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

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

= 3^{\frac{1}{2}} 43

Wende Radikal Regel an:

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

43 = 3^{\frac{1}{4}}

= 3^{\frac{1}{2}} \cdot 3^{\frac{1}{4}}

Wende Exponentenregel an:

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

3^{\frac{1}{2}} \cdot 3^{\frac{1}{4}} = 3^{\frac{1}{2} + \frac{1}{4}}

= 3^{\frac{1}{2} + \frac{1}{4}}

\frac{1}{2} + \frac{1}{4} = \frac{3}{4}

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

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

= 4 3^{3}

Beliebte Beispiele

∣ 4 z + 5 ∣ = ∣ z + 2 ∣

- 3 x > \frac{9}{x - 4}

- 10 x = - 7 x + 6

- 4 x + 2 \geq - 5 x + 1

(x + 3)^{2} = 8