Question

simplify(7+5^1/2)/(7-5^1/2) +(7-5^1/2)/(7+5^1/2)=a+7/11*5^1/2*b​

Answer 1

(7+√5)/(7-√5) - (7-√5)/7+√5)

Rationalise both the terms

(7+√5)² - (7-√5)²/ 49 - 5

= 49 + 14√5 + 5 - 49 + 14√5 - 5/ 44

= 28√5/44

= 7√5/11

Now, 7√5/11 = a + (7/11) √5b

On comparison,

a = 0

b = 1