Question

Which of thw following is equivalent to tosq root of -50

answers
5sqrt2
5isqrt2
5sqrt2i
-5sqrt2

Answer 1

just to add to @GoddessofDork superb reply above.

`image`

Answer 2

• i =
  `√(-1)`
• Product rule of radicals: √ab = √a x √b

Firstly, factor out i:
`i√(50)`

Next, apply the product rule of radicals here as such:

`i√(50)=i√(10* 5)=i√(5* 2* 5)=5i√(2)`

Your answer is 5i√2, or the second option.