If “a” and “b” are two rational numbers and 2+√3/2-√3 = a+

1.	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» 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

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»

49−48

49−4835+20

49−4835+20 3

49−4835+20 3 +7

49−4835+20 3 +7 3

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 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 =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 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