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

IronBlossom asked Dec 8, 2023

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IronBlossom asked Dec 8, 2023

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14 votes

The given value is,

$\sqrt[]{-24}$

We can write this as,

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

As we know, 24 = 4 x 6 and,

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

the above expression can again be rewritten as,

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

Thus, the last option is correct.

Melchizedek answered Dec 11, 2023

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