What is expand sqrt(x/(2(x-1)^3)) ?

The solution to expand sqrt(x/(2(x-1)^3)) is (sqrt(x))/(sqrt(2)(x-1)\sqrt{x-1)}

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expand sqrt(x/(2(x-1)^3))

expand

\frac{x}{2 ( x - 1 ) ^{3}}

\frac{x}{2 ( x - 1 ) x - 1}

Solution steps

\frac{x}{2 ( x - 1 ) ^{3}}

Apply radical rule:

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

\frac{x}{2 ( x - 1 ) ^{3}} = \frac{x}{2 ( x - 1 ) ^{3}}

= \frac{x}{2 ( x - 1 ) ^{3}}

Simplify

2 (x - 1)^{3} : 2 (x - 1) x - 1

= \frac{x}{2 ( x - 1 ) x - 1}

8.65 \cdot 1 0^{- 1}

9 a^{2} b^{2}

0.25 \cdot (0.5)^{- 3}

e^{10.1} \cdot 30. 5^{- 1.0221}

What is expand sqrt(x/(2(x-1)^3)) ?
The solution to expand sqrt(x/(2(x-1)^3)) is (sqrt(x))/(sqrt(2)(x-1)\sqrt{x-1)}