KanyeG548508 KanyeG548508
  • 03-11-2022
  • Mathematics
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19. Which of the following is equal to V-24 ?O-2iV64i 166i-1/2O21 V6

19 Which of the following is equal to V24 O2iV64i 166i12O21 V6 class=

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CaliyahJ633143 CaliyahJ633143
  • 03-11-2022

The given value is,

[tex]\sqrt[]{-24}[/tex]

We can write this as,

[tex]\sqrt[]{-24}=\sqrt[]{24\times-1}[/tex]

As we know, 24 = 4 x 6 and,

[tex]\sqrt[]{-1}=i[/tex]

the above expression can again be rewritten as,

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

Thus, the last option is correct.

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