Question

find the value of 'a' and 'b' if 5 + root 3 / 5 - root 3 = 1/2 a - 3b root 15​

Answer 1

Step-by-step explanation:

(5+√3) / ( 5-√3)

= (28+10√3) / 22

= (14/11)+(5/11)√3 = (1/2)a - 3b√15...(given)

on comparing ,

(1/2) a = 14/11

=> a = 28/11

again,

(5/11)√3 = 3b√15

=> b = 5√3 / 33√15

=> b = √5/33

Therefore, a = 28/11 and b = √5/33

hope this helps you