Question

If n is a positive integer, then (√3+1)2n+1 + (√3−1)2n+1 is
(a) an even positive integer
(b) a rational number
(c) an odd positive integer
(d) an irrational number​

Answer 1

Answer:

$\huge\pink{AnSwer}$

==>(d) an irrational number

Explanation

Since n is a positive integer, assume n = 1

(√3+1)³ + (√3−1)³

= {3√3 + 1 + 3√3(√3 + 1)} + {3√3 – 1 – 3√3(√3 – 1)}

= 3√3 + 1 + 9 + 3√3 + 3√3 – 1 – 9 + 3√3

= 12√3, which is an irrational number

Answer 2

Answer:

CORRECT OPTION IS (d)an irrational number

Step-by-step explanation:

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