Question

(5+√3)/(7-4√3)=a+3√b find a and b​

Answer 1

Answer:

a = 47

b = 2187

Step-by-step explanation:

(5 + √3)/(7 - 4√3)×(7 + 4√3)/(7 + 4√3)= a + 3√b. ......[by rationalsing]

(35 + 20√3 + 7√3 + 12)/(49 - 48) = a + √b

47 + 27√3 = a + √b

on comparing both sides,

a = 47 ; b = 2187