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`sqrt(-36)`  

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kristenmarieb... | Student, Grade 10 | (Level 1) Valedictorian

Posted April 23, 2013 at 7:19 AM via web

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`sqrt(-36)`

 

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pramodpandey | College Teacher | (Level 3) Valedictorian

Posted April 23, 2013 at 7:28 AM (Answer #1)

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Since we know

`36=6xx6`

`=6^2`

`i^2=-1`

Therefore

`sqrt(-36)=sqrt(36i^2)`

`=sqrt(6^2i^2)`

`=sqrt((6i)^2)`

`=6i`

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