Today's soundtrack is *Amorphis: Queen of Time*, an album that filled me with happiness right from the first awesome riff.

This morning, I'm bypassing the Randomizer's activity for the sake of finishing my "Pre-Calculus 11 Introduction Assignment." In this final section, I'll be revisiting radicals.

**Simplifying Radicals**

To simplify a radical, we convert an entire radical to a mixed radical. We need to remember the following property of radicals: √*a *x *b* = √*a *x √*b*. We can use this rule to simplify a radical thus: if we have a radical that is being squared and it is the product of two factors, one of which is a perfect square, we can use the square root of the perfect square multiplied by the other factor, then rooted and put outside of the radical symbol, to simplify the radical.

**Converting Mixed Radicals to Entire Radicals**

If we want to convert a mixed radical (*a*√*b*), we need to exponentially calculate the coefficient by the index, then we put it inside a radical symbol with the same index as our other radicand, and multiply the two numbers. This gives us our entire radical.