Question

Evaluate the radical expression. Express your answer as an integer, simplified fraction, or a decimal rounded to two decimal places

Answer 1

Simplify;

$\begin{gathered} \sqrt[\square]{-16} \\ =\sqrt[]{16}\times\sqrt[\square]{-1} \\ =4\times\sqrt[]{-1} \\ \text{Note that }\sqrt[]{-1}=i \\ \text{The square root of -1 is not a real number hence is denoted by i (imaginary number)} \\ \text{Therefore, } \\ \sqrt[]{-16}=4i \end{gathered}$

The answer is NOT a real number, that is 4i