What is (sqrt(x)-sqrt(2x-5))/(4\sqrt[3]{x+1)} ?

The solution to (sqrt(x)-sqrt(2x-5))/(4\sqrt[3]{x+1)} is ((sqrt(x)-sqrt(2x-5))(x+1)^{2/3})/(4x+4)

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simplify (sqrt(x)-sqrt(2x-5))/(4\sqrt[3]{x+1)}

simplify

\frac{( x - 2 x - 5 ) ( x + 1 ) ^{\frac{2}{3}}}{4 x + 4}

Solution steps

Multiply by the conjugate

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

= \frac{( x - 2 x - 5 ) ( x + 1 ) ^{\frac{2}{3}}}{4 x + 4}

(x + 1)^{2} - 1

\frac{1}{4} \div \frac{3}{4}

(4 x + 2) (x - 5)

2 \frac{3}{2}

4 \times \frac{1}{4}

What is (sqrt(x)-sqrt(2x-5))/(4\sqrt[3]{x+1)} ?
The solution to (sqrt(x)-sqrt(2x-5))/(4\sqrt[3]{x+1)} is ((sqrt(x)-sqrt(2x-5))(x+1)^{2/3})/(4x+4)