Question

(√5-2/√5+2)+(√5+2/√5-2) SIMPLIFY.​

Answer 1

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Answer 2

Solution:

(√5-2)/(√5+2) +(√5+2)/(√5-2)

=[(√5-2)²+(√5+2)²]/[(√5+2)(√5-2)]

= {2[(√5)²+2²]}/[(√5)²-2²]

/*

i ) (a-b)²+(a+b)² = 2(a²+b²)

ii) (a+b)(a-b) = a²-b² */

= [2(5+4)]/(5-4)

= [2×9]/1

= 18

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