What is x/(sqrt(1+x^2)) ?

The solution to x/(sqrt(1+x^2)) is (xsqrt(1+x^2))/(1+x^2)

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simplify x/(sqrt(1+x^2))

simplify

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

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

Solution steps

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

Multiply by the conjugate

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

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

1 + x^{2} 1 + x^{2} = 1 + x^{2}

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

\frac{- 10 - i}{- 9 - 6 i}

cos (θ) cos (θ)

(2 x - 1) (x^{2} - 10 x + 8)

\frac{2 + 14 i}{9 + 14 i}

\frac{20}{80}

What is x/(sqrt(1+x^2)) ?
The solution to x/(sqrt(1+x^2)) is (xsqrt(1+x^2))/(1+x^2)