x + 1/x = √6 হলে x3 + 1/x3 =কত?

x + 1/x = √6 হলে x³ + 1/x³ =কত?

A √6

B 2√6

C 3√6

D 4√6

Solution

Correct Answer: Option C

x³+1/x³ = (x+1/x)³-3x.1/x(x+1/x)
= (√6)³-3√6
= 6√6-3√6
= 3√6