Simplifying Radical Expressions Worksheet With Answers Page 25
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3810-2 Simplifying Radical Expressions
57. WRITING IN MATH Summarize how to write a radical expression in simplest form.
SOLUTION:
No radicals can appear in the denominator of a fraction. So, rationalize the denominator to get rid of the radicand in
the denominator. Then check if any of the radicands have perfect square factors other than 1. If so, simplify.
For example, simplify the following.
58. Jerry’s electric bill is $23 less than his natural gas bill. The two bills are a total of $109. Which of the following
equations can be used to find the amount of his natural gas bill?
A g + g = 109
B 23 + 2g = 109
C g − 23 = 109
D 2g − 23 = 109
SOLUTION:
Let g = Jerry’s natural gas bill. Jerry’s electric bill is $23 less than his natural gas bill, so the electric bill is g – 23.
The two bills are a total of $109.
So, the correct choice is D.
2
59. Solve a
− 2a + 1 = 25.
F −4, −6
G 4, −6
H −4, 6
J 4, 6
SOLUTION:
Solve for a.
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