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受欢迎的代数 >

化简 sqrt(3)(\sqrt[6]{3})

解答

化简

3 (63)

解答

3 3^{2}

+1

十进制

2.08008 \dots

求解步骤

3 (63)

使用法则:

(a) = a

(63) = 63

= 363

使用根式运算法则:

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

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

= 3^{\frac{1}{2}} 63

使用根式运算法则:

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

63 = 3^{\frac{1}{6}}

= 3^{\frac{1}{2}} \cdot 3^{\frac{1}{6}}

使用指数法则:

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

3^{\frac{1}{2}} \cdot 3^{\frac{1}{6}} = 3^{\frac{1}{2} + \frac{1}{6}}

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

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

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

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

= 3 3^{2}

流行的例子

y = y (1 - y)

8 x^{2} - 10 x - 7 = 0

化简 (x^{-6})/(x^{-9)}

s im pl i f y \frac{x ^{- 6}}{x ^{- 9}}

因式分解 2k^2-4k

f a c t or 2 k^{2} - 4 k

2 x^{2} + 5 x - 8 = 0