Simplified? 5 √( - 8r) Im just confused on how the negative 8 will play out, and same with the non exponential variable.​

Question

Simplified?


`5 √( - 8r)`
Im just confused on how the negative 8 will play out, and same with the non exponential variable.​

Answer 1

5*sqrt(-8r) =
5i*sqrt(8r) =
10i*sqrt(2r)


The i is an 'imaginary number' and it represents the square root of -1.

Answer 2

`10i√(2r)`.

Explanation:

`5√(-8r)`

=
`5√(-1 * 2 * 2 * 2 * r)`

=
`5i√(2^2 * 2 * r)` (i = the square root of -1)

=
`5i * 2√(2 r)`

=
`10i√(2r)`

Hope this helps!