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受欢迎的代数 >

化简 sqrt(3)*\sqrt[4]{3}

解答

化简

3 \cdot 43

解答

4 3^{3}

+1

十进制

2.27950 \dots

求解步骤

343

使用根式运算法则:

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

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

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

使用根式运算法则:

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

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

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

使用指数法则:

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}

流行的例子

∣ 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