Question

$\sqrt{25 - 49}$pls what is the answer

Answer 1

We need to evaluate the expression:

$\sqrt[]{25-49}$

Notice that the expression inside the square root results in a negative number. So, we need to use the following definition for the imaginary number i:

$i=\sqrt[]{-1}$

Now, we obtain:

$\begin{gathered} \sqrt[]{25-49}=\sqrt[]{-24} \\ \\ =\sqrt[]{4\cdot(-1)\cdot(6)} \\ \\ =\sqrt[]{4}\cdot\sqrt[]{-1}\cdot\sqrt[]{6} \\ \\ =2i\sqrt[]{6} \end{gathered}$

Therefore, the answer is:

$2i\sqrt[]{6}$