express in terms of i   - sqrt -496   i believe it is sq rt there is a check sign in front of the -496must show work

Expert Answers
hala718 eNotes educator| Certified Educator

`sqrt(-496) `

First we will factor -496

`==gt -496 = -1 * 2*2*2*2*31 `

`==gt sqrt(-496)= sqrt(-1*2*2*2*2*31) = 4sqrt(31)*sqrt(-1)`

But we know that `sqrt(-1)= i `

`==gt sqrt(-496)= 4sqrt31*i`

`==> -sqrt(-496) = -4sqrt31 *i`

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