Answer:
11 - 6√3
Step-by-step explanation:
Given the expression;
5+2√3/7+4√3
Rationalize
5+2√3/7+4√3 * 7-4√3/7-4√3
= 35 - 20√3+14√3 - 24/49 - 16(3)
= 35 - 20√3+14√3 - 24/49 - 48
= 35 - 20√3+14√3 - 24
= 35 - 6√3- 24
= 35 - 24 - 6√3
= 11 - 6√3
This gives the required solution