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

The solution to (x^{1/2+1})/(1/2+1) is (2sqrt(x^3))/3

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simplify (x^{1/2+1})/(1/2+1)

simplify

\frac{x ^{\frac{1}{2} + 1}}{\frac{1}{2} + 1}

\frac{2 x ^{3}}{3}

Solution steps

\frac{x ^{\frac{1}{2} + 1}}{\frac{1}{2} + 1}

\frac{1}{2} + 1 = \frac{3}{2}

= \frac{x ^{\frac{3}{2}}}{\frac{1}{2} + 1}

\frac{1}{2} + 1 = \frac{3}{2}

= \frac{x ^{\frac{3}{2}}}{\frac{3}{2}}

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= \frac{x ^{\frac{3}{2}} \cdot 2}{3}

= \frac{2 x ^{\frac{3}{2}}}{3}

x^{\frac{3}{2}} = x^{3}

= \frac{2 x ^{3}}{3}

4 \cdot 23

\frac{5}{13}

\frac{1}{2} 3 + \frac{1}{2} 3

(16.01)^{\frac{3}{2}} - 2 16.01

- x^{2} - 6 x - 6

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