Question

`√(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}`