Question

Which of the following is equivalent to the expression below?O A SiOB. -5,5O C. -2,5O D. 225

Answer 1

We want to solve

`\sqrt[]{-20}`

This becomes

`\begin{gathered} \sqrt[]{-20} \\ \sqrt[]{-4*5} \\ \sqrt[]{-1*4*5} \\ i*\sqrt[]{4*5} \end{gathered}`

The square root of a negative number is a complex number, so the square root of -1 is i

The answer becomes

`\begin{gathered} i*\sqrt[]{4*5} \\ i*2\sqrt[]{5} \\ 2i\sqrt[]{5} \end{gathered}`