If a3 + 1/a3 = 52, then the value of 2(a + 1/a) is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e 8
⇒ a3 + 1/a3 = (a + 1 / a)3 - 3(a + 1 / a)
⇒ 52 = (a + 1 / a)3 - 3(a + 1 / a)
⇒ a + 1 / a = 4
⇒ 2(a + 1 / a) = 2 × 4 = 8