Sangeetha Pulapaka
0

STEP 1: Recall what is a radical

https://study.com/academy/lesson/radical-expression-definition-examples-quiz.html

STEP 2: Recall what is a radical expression

https://www.basic-mathematics.com/radical-expression.html

STEP 3: Recall what are conjugates in a radical expression

https://www.purplemath.com/modules/radicals4.htm

STEP 4: Simplify

\frac{6+\sqrt{3}}{4-\sqrt{3}}

\frac{6+\sqrt{3}}{4-\sqrt{3}}.\frac{4+\sqrt{3}}{4+\sqrt{3}}

= \frac{24+6\sqrt{3}+4\sqrt{3}+3}{16+4\sqrt{3}-4\sqrt{3}-3} =

\frac{27+10\sqrt{3}}{13}