Solve : 2+√3 ÷ 2-√3 = a + b√3
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2+root3/2-root3 =a+broot3
(2+root3)(2+root3)/(2-root3)(2+root3)=a+broot3
(2+root3)²/(2)²-(root3)²=a+broot3
4+3+4root3/2-3 =a+broot3
7+4root3/-1=a+broot3
-(7+4root3)=a+b root3
-7-4root3 =a+b root3
therefore, a=-7 and b=-4
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