Question

can anyone solve it please

Answer 1

3 + √5 / 3 - √5 + 3 - √5 / 3 + √5

Rationalizing,
= [(3+√5)(3+√5)/(3-√5)(3+√5)] + [(3-√5)(3-√5)/(3+√5)(3-√5)]

= [(9+6√5+5)/(9-5)] + [(9-6√5+5)/(9-5)]

= 14+6√5/4 + 14-6√5/4

= 14+14-6√5+6√5/4

= 14+14/4

= 28/4

= 7

Answer 2

3 + √5 / 3 - √5 + 3 - √5 / 3 + √5

= [(9+6√5+5)/(9-5)] + [(9-6√5+5)/(9-5)]
= 14+6√5/4 + 14-6√5/4
= 28/4 = 7