Question

You see imaginary number I to rewrite the expression below as a complex member simplify all radicals

Answer 1

Given the below;

$-\sqrt[]{-25}$

We can break this up as shown below;

$\begin{gathered} -\sqrt[]{(-1)\ast(25)} \\ =-(\sqrt[]{-1}\ast\sqrt[]{25}) \end{gathered}$

Remember, that the square root of -1 is i. So let's go ahead and substitute i into our expression;

$\begin{gathered} =-(i\sqrt[]{25)} \\ =-(5i) \\ =-5i \end{gathered}$

Therefore our answer is -5i.