If $a^{3}+\frac{1}{a^{3}} = 52$ then the value of $2\left(a + \frac{1}{a}\right)$ is :

8 2 6 4

8

If $a^{3}+\frac{1}{a^{3}} = 52$ this value is only possible when the value of $\left(a + \frac{1}{a}\right)$ is = 4 so put this value in the desired equation = $2\left(a + \frac{1}{a}\right)$  $2\left(a + \frac{1}{a}\right)$  = $2\left(4\right)$ = 4