Question

4- root 5 divided by 4 + root 5+ 4 + root 5 devided by 4 - root 5

Answer 1

Answer:

(4 +√5)/(4 -√5)  + (4 -√5)/(4 +√5)

now dividing and multiplying the first term by (4 +√5) and second term by (4 -√5), we get,

(4 +√5)×(4 +√5)/(4 -√5)×(4 +√5) + (4 -√5)×(4 -√5)/(4 +√5)×(4 -√5)

⇒(4 +√5)²/(16 -5) +  (4 -√5)²/(16 -5)   ( applying (a² -b²) = (a+b)(a -b))

⇒(16 +5 +8√5 +16 +5 - 8√5)/11

⇒42/11

Answer 2

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