Question

Write √3 ÷5-2V3 in simplest radical form.

Answer 1

Answer:

So the expression in simplified radical form will be $\frac{5\sqrt{3}+6}{13}$

Step-by-step explanation:

We have have given the expression $\frac{\sqrt{3}}{5-2\sqrt{3}}$

We have to write this expression in simplest radical form

For writing in simplest radical form we have to rationalize first

So after rationalizing

$\frac{\sqrt{3}}{5-2\sqrt{3}}\times \frac{5+2\sqrt{3}}{5+2\sqrt{3}}=\frac{5\sqrt{3}+6}{25-12}=\frac{5\sqrt{3}+6}{13}$

So the expression in simplified radical form will be $\frac{5\sqrt{3}+6}{13}$