Question

simplify (( root 5-1)/(root 5+1))+((root 5+1)/(root 5-1))​

Answer 1

Answer:

(√5-1)(√5+1)+(√5+1)(√5-1)=8

Step-by-step explanation:

(√5-1)(√5+1)+(√5+1)(√5-1)

= 2[(√5-1)(√5+1)]

= 2[(√5)²-1²]

/* By algebraic identity:

(a+b)(a-b)=a²-b² */

= 2(5-1)

=2×4

= 8

Therefore,

(√5-1)(√5+1)+(√5+1)(√5-1)=8

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