What is x/(sqrt(x^2+2)) ?

The solution to x/(sqrt(x^2+2)) is (xsqrt(x^2+2))/(x^2+2)

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simplify x/(sqrt(x^2+2))

simplify

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

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

Solution steps

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

Multiply by the conjugate

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

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

x^{2} + 2 x^{2} + 2 = x^{2} + 2

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

\frac{\frac{1}{y ^{2}} - 9}{\frac{1}{y} + 3}

\frac{2}{2 x - 9} + \frac{1}{2 x - 9}

\frac{1}{x + 1} + \frac{1}{x}

+ 21 6^{- \frac{4}{3}}

What is x/(sqrt(x^2+2)) ?
The solution to x/(sqrt(x^2+2)) is (xsqrt(x^2+2))/(x^2+2)