5.04 Multiplying
Square Roots
Basic
Algebra: One Step at a Time. Page
420-430 #25, 54, 60, 62, 64, 66, 70, 77, 78,
Extra Problem.
Dr. Robert J. Rapalje
Seminole State College of Florida
Sanford, FL 32773
To see Section 5.04,
with detailed explanations, examples, exercises, and answers,
click here!
p. 422:
25.
You have a product of two numbers times the product of two more numbers.
This is actually the product of four numbers. You may multiply these
numbers in any order you wish. It will be helpful to multiply the numbers
that are OUTSIDE
the square root and keep them
OUTSIDE the square
root, then multiply the numbers that are
INSIDE the
square root, and keep them INSIDE
the square root.
Now, simplify the
square root (if possible)!
No Extra Charge: Why
not check your answer with your calculator!!
Calculate the problem:
Calculate the answer:
Product of
Binomials: “F
OI
L”
p. 427:
F O
I
L
54.
=
=
If radicals can be simplified, make two separate radicals for
the radicals above:
=
Place the perfect square in
the first radical:.
=
Place the other factor
that is “left-over” in the second radical.
=
Take square roots of the
perfect squares:
=
There are no like terms,
so this is the final answer.:
p. 428:
F
O
I L
60.
=
=
=
= 
Can you do the calculator check?
=
F
O
I
L
62.
=
= 
= 
= 
There are no like terms,
so this is the final answer.
Don’t even think about combining the
132
and the
60 !! They are NOT like terms!!
F
O
I L
64.
=
=
= 
= 
Calculator check:
=
373.3769618
=
373.3769618
F
O
I
L
66.
=
=
= 
=
=
Calculator check:
=
29.92684015
=
29.92684015
p. 429: F
O
I
L
70.
=
=
=
=
=
Calculator check:
=
0.5147
=
0.5147
F
O
I L
77.
=
= 
= 
= 
= 
Calculator check:
=
2050.233765
=
2050.233765
F
O
I
L
78.
=
= 
=
=
=
Calculator check:
= 80.50776
=
80.50776
Extra Problem by Huossam.
F O I
L
=
= 
Calculator check: =
−0.1316524976
=
−0.1316524976
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C
O
L O
R
!!
