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Radicals

Page history last edited by PBworks 16 years ago

Radicals are treated like variables. If you can do it with a variable, you can do it with a radical.

    __         __

√3 + √2        Compare:  X + Y

                                                                                        __         __

You cannot add X + Y, so you cannot add √3 + √2 

 

   ___           ___

√3   x  √2       Compare:  XY

                                                                        __        __           __

You can multiply X and Y, so you can muliply √3 and √2     =   √6

 

 

 

Simplify:

        __                                                                              __ __      __

1)  √54    Break down the square root of 54 as follows:  √9 √6 = 3√6

       ___

2)  √24

        __

3)  √90

       __

4)  √48

        ___

5) 3√60

 

 

 

Add:

 

1)  √35 + √28

 

2)  √32 + 4√18

 

3)  10√8 + 5√2

 

 

Multiply:

        __      __

1) (√50) (√18)

           __       _

2)  (2√12)(3√8)

          __     _      __

3)  (945)(√6)(2√24)

 

 

Applications:

 

1. a. Find the perimeter of a rectangle that has a length of  12 and a width of 3.

         Express your answer in simplest radical form.

    b. Find the area of the same rectangle in simplest form.

 

 

 

2. The sides of a triangle have lengths 63, 175, and 27. Determine its perimeter in simplest radical form.

 

 

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