Unit 2: day 3

Today, Students will learn how to simplify radicals.

video explanation

Example 1.   33, for example, has no square factors.  Its factors are 3· 11, neither of which is a square number.  Therefore,  is in its simplest form.

Example 2.  Extracting the square root.   18 has the square factor 9.

18 = 9· 2.

Therefore,  is not in its simplest form.  We have,

 = 

We may now extract, or take out, the square root of 9:

 =  = 3.

 is now simplified. The radicand no longer has any square factors.

The justification for taking out the square root of 9, is this theorem:

Quiz

1) √75
2)√54
3)√36



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Answer key

1)√75                           2) √54                          3) √36- perfect square root

  √25-√3                         √6-√9                                √6

   5√3                           3√2--3√3

                                        3√6