Lesson 1
1. Lesson 1
1.9. Explore 3
Module 5: Radicals
Self-Check 3
Change the following mixed radicals into equivalent entire radicals. Check by using a calculator to compute the numerical value of both the question and the answer. Be sure to check your answers to ensure that you understand the solution process.
Sometimes it will be necessary to compare radicals and sort them from smallest to largest or vice versa. To do this accurately, make sure all the radicals are expressed as entire radicals.
Suppose you were asked to put the following numbers in order from smallest to largest:
4 
Begin by expressing each of the numbers as an equivalent entire radical.
is already expressed as an entire radical.
Now it is easy to order them from smallest to largest.
4 
Self-Check 4
Put the following numbers in order from smallest to largest:
If you feel you need a bit more practice converting radicals between entire and mixed forms or comparing and ordering radical expressions, complete “Check Your Understanding” question 2 and “Practising” questions 4, 11, 12, and 15 on pages 182 and 183 of your textbook.
When you finish each question, check your work using the shortened answers given on page 538 of your textbook. If you are still unclear about how to answer some questions, make sure you contact your teacher to ask about those questions and get some assistance.
If you haven’t already done so, you should update your Glossary Terms document with the following definitions from this lesson:
- mixed radical
- entire radical
- principal square root
- secondary square root