Question

If 5+2√3/7+√3 =a-√3b ,find a and b where a and b are rational

Answer 1

Answer:

Given, 5+2√3/7+√3=a-√3b

To find:a, b=?

Step-by-step explanation:

Sol:

5+2√3/7+√3=a-√3b

(5+2√3)(7-√3)/(7+√3)(7-√3)=a-√3b

35-5√3+14√3-6/49-3=a-√3b

29-9√3/46=a-√3b

29/46-9√3/46=a-√3b

Therefore,a=29/46 and b=9/46 {Ans}