Question

19. Which of the following is equal to V-24 ?O-2iV64i 166i-1/2O21 V6

Answer 1

The given value is,

$\sqrt[]{-24}$

We can write this as,

$\sqrt[]{-24}=\sqrt[]{24\times-1}$

As we know, 24 = 4 x 6 and,

$\sqrt[]{-1}=i$

the above expression can again be rewritten as,

$\sqrt[]{-24\times-1}=\sqrt[]{4\times6}\times i=2i\sqrt[]{6}$

Thus, the last option is correct.