If a and b are rational numbers, find the values of a and b in the following equality
5+2√3 ÷7+4 √3 = a + b √ 3
In each of the following determine rational numbers a and b :
(i) √3−1√3+1=a−b√3
(ii) 4+√22+√2=a−√b
(iii) 3+√23−√2=a+b√2
(iv) 5+3√37+4√3=a+b√3
(v) √11−√7√11+√7=a−b√77
(vi) 4+3√54−3√5=a+b√5