Factor the expression $\sqrt{3+x}-\sqrt{3}$

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Limit of this function

$\lim_{x\to0}\left(\sqrt{3+x}-\sqrt{3}\right)=0$
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Derivative of this function

$\frac{d}{dx}\left(\sqrt{3+x}-\sqrt{3}\right)=\frac{1}{2\sqrt{3+x}}$
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Integral of this function

$\int\left(\sqrt{3+x}-\sqrt{3}\right)dx=\frac{2\sqrt{\left(3+x\right)^{3}}}{3}-\sqrt{3}x+C_0$
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