Question

If 2+√3/2-√3 =a+b√3 . then find the value of a and b?​

Answer 1

Answer:

a=7,b=4

Step-by-step explanation:

2+√3/2-√3=a+b√3

2+√3/2-√3×(2+√3/2+√3)=a+b√3

(2+√3)²/2²-(√3)²=a+b√3

4+3+4√3/4-3=a+b√3

7+4√3=a+b√3

after comparing on both sides

a=7,b=4