Question

How do I simplify this expression?

Answer 1

15i
`√(2)`

Explanation:

Require to know
`√(-1)` = i

Given

5
`√(-18)`

= 5
`√(9(2)(-1))`

= 5 ×
`√(9)` ×
`√(2)` ×
`√(-1)`

= 5 × 3 ×
`√(2)` × i

= 15i
`√(2)`

Answer 2

15i√2

Explanation:

5√(-18)

= 5√(-2 x 9)

= 5 x 3 x √-2

= 15√-2

= 15i√2