Download Operations With Radicals

Math 31
Activity # 15
“Operations With Radicals”
Your Name: ___________________ Team Member #1__________________
Team Member #2.______________ Team Member #3__________________
Directions: Work in teams of three, with a Member A, Member B and a Member C.
Where there is a part A, B, and C, individual team members should do their
assigned part but all team members should compare answers.
Warm-Up 1) List the perfect squares from 1 to 144.
___________________________________________________________________
2) Factor the following numbers using a perfect square factor. For example, 24 = 4  6
A) 28
3) For the radical
B) 54
5 a 5b 7
C) 63
the radicand is _________ and the index is _____.
4) Evaluate the following radicals, if possible.
A)
16
27
x2
 9
B)
81
135
y4
9
C)
100
18
25 z 6
 9


5) Discuss with teammates why the following equation is true or false.
9  16 
9  16
______________________________________________________________
6) Show how to simplify the following expressions using the Distributive Property.
3x  x
3 x

7)  5 6  7 6   12 6 


x

8 a  9 a

Simplify each radical term and then simplify the radical expression.
8) 2 27  3 18
9)  3 60  3 135

11)  5 12  4 20   12 48   7 45


50 x  4 75x
10)
72   12 6 
12) 7 72 


Multiplying Radicals
13) Multiply the following two radicals and explain why the result cannot be
simplified.
3 5
14) First simplify each radical and
then multiply.
15) Multiply the two radicands and
then simplify.
12  27
12  27
Verify with team members that problems 14 and 15 have the same answer.
16) Can the following radical expression be simplified?
2 
If not, explain why.
3
17) Can the following radical expression be simplified? If yes, show how.
6

2 
3

Debrief: Explain in your own words a mathematical concept that you learned through this
activity.