This week in precalculus 11 we worked on our unit about radicals. I learned how to change an entire radical into a mixed radical.I will give an example on how to convert a entire radical into a mixed radical. First I will explain how to identify a mixed and entire radical
Now that you know how to identify both radicals let’s move onto an example.
Step 1:
The first step you want to write all the prime factors (it makes it much easier).
Step 2:
Next you’re going to write those prime factors under a radical. This equation we’re dealing with square root so you’ll be grouping them in pairs.
Step 3:
step three are you going to want to place the same pairs into the same radical. Any numbers without a pair will be put separately into its own radical. This will help us for our next step.
Step 4:
after that you’re going to want to simplify the pairs within the radicals.
Step 5:
step five you’re going to solve for the square roots that are a perfect square.
Step 6:
lastly you’re going to simplify once again and you’ve got your answer!