What is x/(sqrt(x^2+4)) ?

The solution to x/(sqrt(x^2+4)) is (xsqrt(x^2+4))/(x^2+4)

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simplify x/(sqrt(x^2+4))

simplify

\frac{x}{x ^{2} + 4}

\frac{x x ^{2} + 4}{x ^{2} + 4}

Solution steps

\frac{x}{x ^{2} + 4}

Multiply by the conjugate

\frac{x ^{2} + 4}{x ^{2} + 4}

= \frac{x x ^{2} + 4}{x ^{2} + 4 x ^{2} + 4}

x^{2} + 4 x^{2} + 4 = x^{2} + 4

= \frac{x x ^{2} + 4}{x ^{2} + 4}

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What is x/(sqrt(x^2+4)) ?
The solution to x/(sqrt(x^2+4)) is (xsqrt(x^2+4))/(x^2+4)