Question

square root of -15 times square root 5 what is the answer

Answer 1

The first thing we need to know is that taking the square root of a negative number will result in needing to apply the following rule:

1. The negative sign will turn into an i. This is placed outside of the square root.

2. This results in the following:

$\sqrt[]{-15}=i\sqrt[]{15}$

Then, we will multiply this by the square root of 5:

$i\sqrt[]{15}\times\sqrt[]{5}$

This can be rationalized:

We can take a 5 out of the 15, leaving a 3. This will also cancel the square root of 5.

$5i\sqrt[]{3}$

Therefore, this leaves us with our final answer.