What is expand ((1+4x)/(1-x))^{1/2} ?

The solution to expand ((1+4x)/(1-x))^{1/2} is ((4x+1)^{1/2})/((-x+1)^{1/2)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ((1+4x)/(1-x))^{1/2}

expand

(\frac{1 + 4 x}{1 - x})^{\frac{1}{2}}

\frac{( 4 x + 1 ) ^{\frac{1}{2}}}{( - x + 1 ) ^{\frac{1}{2}}}

Solution steps

(\frac{1 + 4 x}{1 - x})^{\frac{1}{2}}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

\frac{1 + 4 x}{1 - x} = \frac{( 1 + 4 x ) ^{\frac{1}{2}}}{( 1 - x ) ^{\frac{1}{2}}}

= \frac{( 1 + 4 x ) ^{\frac{1}{2}}}{( 1 - x ) ^{\frac{1}{2}}}

\frac{25}{3} 22 \cdot 1 0^{- 8}

\frac{1}{3} π (8 h)^{2} h

(x^{2} + x)^{2}

- 1 0^{- 7} \cdot 12 \cdot 1 0^{- 6} \cdot \frac{30}{4}

What is expand ((1+4x)/(1-x))^{1/2} ?
The solution to expand ((1+4x)/(1-x))^{1/2} is ((4x+1)^{1/2})/((-x+1)^{1/2)}