Question

Evaluate the following square root expression. assume x > 0

Answer 1

Given that,

`\sqrt[]{-50x}`

Since x>0 (it is positive)

we get,

`=\sqrt[]{-1(50)(x)}`

From complex number we have that,

`\begin{gathered} i=\sqrt[]{-1} \\ \text{that is, }i^2=1 \end{gathered}`

using this we get,

`=i\sqrt[]{50x}`
`\begin{gathered} =i\sqrt[]{25*2* x} \\ =5i\sqrt[]{2x} \end{gathered}`

The simplified epression of the given square root is,

`=5i\sqrt[]{2x}`