What is expand sqrt((1+ax)/(4-x)) ?

The solution to expand sqrt((1+ax)/(4-x)) is (sqrt(ax+1))/(sqrt(-x+4))

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expand sqrt((1+ax)/(4-x))

expand

\frac{1 + a x}{4 - x}

\frac{a x + 1}{- x + 4}

Solution steps

\frac{1 + a x}{4 - x}

Apply radical rule:

\frac{a}{b} = \frac{a}{b}

\frac{1 + a x}{4 - x} = \frac{1 + a x}{4 - x}

= \frac{1 + a x}{4 - x}

[(3^{4})^{1}]^{2}

\frac{( x + 5 ) ^{2}}{( x - 5 ) ^{2}}

1.466 \cdot 1 0^{- 3}

6.9335 e^{- 1.023 x}

\frac{e ^{4 x}}{e ^{- 4 x}}

What is expand sqrt((1+ax)/(4-x)) ?
The solution to expand sqrt((1+ax)/(4-x)) is (sqrt(ax+1))/(sqrt(-x+4))