Question

What is the simplified form of this expression √-150

Answer 1

Answer:
`\boldsymbol{5i√(6)}`

where
`i = √(-1)`

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Work Shown:

`√(-150)\\\\√(-1*25*6)\\\\√(-1)*√(25)*√(6)\\\\i*5*√(6)\\\\\boldsymbol{5i√(6)}\\\\`

The trick with these type of problems is to factor the number into pieces such that we pull out the largest perfect square factor. In this case, that factor is 25. We also pull out the -1.

The rule used is
`√(A*B) = √(A)*√(B)` that lets us break up the root.