Question

If a = ^2+1 , find (a + 1 / a )​

Answer 1

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Answer 2

Answer:

(6√2) - 6

Step-by-step explanation:

Given,

a = √2 + 1

(a + 1/a) = (a²+1)/a = {(√2+1)² + 1}/(√2+1)

=( 2+2+1+1)/(√2+1)

= 6/(√2+1)

={ 6(√2-1)} / {(√2+1)(√2-1)}

= (6√2-6) / 2- 1

= (6√2) - 6

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