Question

4x/√ ̅9x+8 rationalize the denominator

Answer 1

$\frac{4x}{\sqrt{9x+8}}$

to rationalise we multiply both numerator and denominator by $\sqrt{9x+8}$

So we do

$\frac{4x}{\sqrt{9x+8}} * \frac{\sqrt{9x+8}}{\sqrt{9x+8}}$

=$\frac{4x(\sqrt{9x+8})}{9x+8}$

As it cannot be simplified anymore so this is the final answer

$\frac{4x(\sqrt{9x+8})}{9x+8}$