a + 1/a = √3 হলে, a³ + 1/a³ = কত?

a + 1/a = √3 হলে, a³ + 1/a³ = কত?

A 3√3

C 2√3

D 9

Solution

Correct Answer: Option B

a³ + 1/a³
= (a + 1/a)³ - 3.a.1/a(a + 1/a)
= (√3)³ - 3(√3)
= 3√3 - 3√3
= 0