Find the value of 'a' and 'b' Please Answer⚠️Don't Spam⚠️

1.	Find the value of 'a' and 'b' Please Answer⚠️Don't Spam⚠️
Answer» (5+√3)/(√5-√3) = a/2 + 3b√15 Rationalising the LHS (5+√3)(√5+√3) / (√5-√3)(√5+√3) = a/2 + 3b√15 5(√5+√3) + √3(√5+√3) / (√5)²-(√3)² = a/2 + 3b√15 5√5+5√3 + √15+3/ 5-3 = a/2 + 3b√15 5√5+5√3+3 + √15/ 2 = a/2 + 3b√15 (5√5+5√3+3)/2 + √15/ 2 = a/2 + 3b√15 a = 5√5+5√3+3 3b = 1/2 b = 1/6

Answer»

Rationalising the LHS

(5+√3)(√5+√3) / (√5-√3)(√5+√3) = a/2 + 3b√15

5(√5+√3) + √3(√5+√3) / (√5)²-(√3)² = a/2 + 3b√15

5√5+5√3 + √15+3/ 5-3 = a/2 + 3b√15

5√5+5√3+3 + √15/ 2 = a/2 + 3b√15

(5√5+5√3+3)/2 + √15/ 2 = a/2 + 3b√15

a = 5√5+5√3+3

3b = 1/2

b = 1/6

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