Question

PLS ANSWER I WILL MARK AS BRAINLIEST ! Find value of a and b in equation : (root 5 - root 3 )by (root 5 + root 3) + (root 5 + root 3) by( root 5 - root 3) = a + b root 15.

Answer 1

Answer:

a = 16/2 = 8      ;      b = 0

PLEASE BRAINLIEST MY ANSWER

Step-by-step explanation:

(root 5 - root 3 )by (root 5 + root 3) + (root 5 + root 3) by( root 5 - root 3) = a + b root 15.

(√5-√3)/(√5+√3) + (√5+√3)/(√5-√3) = a + b√15

LHS = [ (√5-√3)*(√5-√3) + (√5+√3)*(√5+√3) ] / [ (√5+√3)*(√5-√3) ]

       = [ (√5-√3)² + (√5+√3)² ] / (5-3)

       = [ (√5)² - 2√5√3 +(√3)² + (√5)² + 2√5√3 +(√3)² ] / 2

       = [ 5 - 2√15 + 3 + 5 + 2√15 + 3 ] / 2

       = [ 16 - 2√15 + 2√15 ] / 2

       = [ 16 - 0√15 ] / 2

LHS = 16/2 - 0√15/2

RHS = a + b√15

compare LHS and RHS

a + b√15 = 16/2 - 0√15/2

∵  a = 16/2 = 8      ;      b = 0