Question

Rationalize the denominators: 4/√x+2

Answer 1

$\dfrac{4}{\sqrt{x}+2}=\dfrac{4}{\sqrt{x}+2}\cdot\dfrac{\sqrt{x}-2}{\sqrt{x}-2}=\dfrac{4(\sqrt{x}-2)}{(\sqrt{x})^2-2^2}=\dfrac{4\sqrt{x}-8}{x-4}\\\\Use:(a+b)(a-b)=a^2-b^2$

Answer 2

$\frac{4}{\sqrt{x + 2}} = \frac{4}{\sqrt{x + 2}} * \frac{\sqrt{x + 2}}{\sqrt{x + 2}} = \frac{4\sqrt{x + 2}}{x + 2}$