Question

Write the rationalized expression of:

Answer 1

Answer:

A

Step-by-step explanation:

First, simplify the numerator:

$\frac{3 }{\sqrt{3} + \sqrt{x} }$

Next, multiply the numerator and denominator by the opposite of the denominator to rationalize the expression.

$\frac{3}{\sqrt{3}+\sqrt{x} }*\frac{\sqrt{3}-\sqrt{x} }{\sqrt{3}-\sqrt{x}}$

Finally, evaluate the denominator by multiplying them together.

$\frac{3(\sqrt{3}-\sqrt{x})} {(\sqrt{3}+\sqrt{x})(\sqrt{3}-\sqrt{x})}$

Simplify:

$\frac{3(\sqrt{3}-\sqrt{x})} {3-x}$

And done! :)