# If i = sqrt -1 what is the value of i3 A. -1 B. i C. 1 D. -i

2 months ago

## Solution 1

Guest #2328
2 months ago

The value of i3 is equal to D. -i

Step-by-step explanation:

We can find the answer by taking the definition of i :

i = sqrt(-1)        (1)

i ^2 = (sqrt(-1)) ^2 = -1             (2) because square root and squaring are inverse operations

so from (2)

i ^3= i ^2* i = -1*i = -i

So -i is the final answer or  – (sqrt(-1))         which is the same

## Solution 2

Guest #2329
2 months ago
I^3  = i * i * i  = i^2 * i  = -1 * i = -i Answer

Its D

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HOPE IT HELPS *****

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