化简 sqrt(\sqrt{n)}

解答

化简

n

4 n

求解步骤

n

使用根式运算法则:

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

= (n^{\frac{1}{2}})^{\frac{1}{2}}

使用指数法则:

(a^{b})^{c} = a^{b c},

假定

a \geq 0

= n^{\frac{1}{2} \cdot \frac{1}{2}}

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

= n^{\frac{1}{4}}

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

= 4 n

f a c t or 4 x^{2} + 52 x + 160

0 = 2 x^{2} + 7 x + 6

s im pl i f y (4 + 8 i) (4 - 8 i)

s im pl i f y (y^{2} - x^{5}) + (x^{5} - x^{2})

x^{2} = 3 x + 4