This week in Pre-calculus 11, I learned about roots and powers. Something I hadn’t learned about before were mixed radicals, and how to create one from a regular radical. A mixed radical is similar to a mixed fraction, where there is a whole number and a fraction together. Here are some examples of mixed fractions:
A mixed radical looks like the photo below, where there is a number inside the square root sign, as well as a number outside:
To change a radical from being entire (only a number inside the square root sign) to mixed, you can follow the steps below. In step 2, make sure one of the numbers is a perfect square (9, 25, 49, etc.)
To change a radical from mixed back to entire, follow the steps below. In step 2, don’t forget to add the outside number in twice. This will make sure you multiply it by itself, so it becomes a perfect square number.
Here are two more examples: