Question

If “a” and “b” are two rational numbers and 2+√3/2-√3 = a+ b√3 , then find the values of a and b.​

Answer 1

49−48

49−4835+20

49−4835+20 3

49−4835+20 3

49−4835+20 3 +7

49−4835+20 3 +7 3

49−4835+20 3 +7 3

49−4835+20 3 +7 3 +12

49−4835+20 3 +7 3 +12

49−4835+20 3 +7 3 +12 =47a+b

49−4835+20 3 +7 3 +12 =47a+b 3

49−4835+20 3 +7 3 +12 =47a+b 3

49−4835+20 3 +7 3 +12 =47a+b 3

49−4835+20 3 +7 3 +12 =47a+b 3 47+27

49−4835+20 3 +7 3 +12 =47a+b 3 47+27 3

49−4835+20 3 +7 3 +12 =47a+b 3 47+27 3

49−4835+20 3 +7 3 +12 =47a+b 3 47+27 3 =47a+b

49−4835+20 3 +7 3 +12 =47a+b 3 47+27 3 =47a+b 3

49−4835+20 3 +7 3 +12 =47a+b 3 47+27 3 =47a+b 3

49−4835+20 3 +7 3 +12 =47a+b 3 47+27 3 =47a+b 3

49−4835+20 3 +7 3 +12 =47a+b 3 47+27 3 =47a+b 3 By comparing both sides,

49−4835+20 3 +7 3 +12 =47a+b 3 47+27 3 =47a+b 3 By comparing both sides,a=1,b=27