Question

If root 3 minus one by root 3 + 1 is equal to a minus b root 3 find the value of a and b

Answer 1

First you have to rationalize the denominator by multiplying both numerator and denominator with root 3-1

then you will get{ root 3 + 1 }2/{root 3}2- {1}2

that will be = 4+2*root3  /2

2{2+root 3 } / 2{1}

and finally you are left with 2+root3

therefore, a = 2 and b =1