This week in Precalculus 11, I learned about multiplying mixed radicals. It’s an important skill to learn as in practice you are most likely to encounter equations where you have to multiply mixed radicals.One very important rule to remember while multiplying mixed radicals is to multiply the coefficient and the radicand separately.

In our example here our coefficient is 2 and our radicand is root 3 multiplied by 2 root 9.

Now we multiply separately giving us the answer of 4 root 27.

Lastly, further simplify your radical by factoring, and tada we did it!

Now let’s try a harder question. First let’s apply 2 root 3 into the brackets.

Here it is now spread out.

Now if possible simplify the equation, but in this case we cannot simplify nor subtract because they don’t have the same radicand.

Now you know what to do when you encounter an equation with mixed radicals!