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10.1 Simplifying Square Roots
Objective: To simplify square roots using the multiple methods
Def
1) radical- an expression written with a square root
2) radicand- the number or expression inside the radical symbol
Ex. 1 Find the square root of the number to the nearest tenth
a. 27
b. 49
c. 8
Def
3) Pythagorean thm- in a right triangle the sum of the legs squared is equal to the hypotenuse
squared
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i.e. a2 + b2 =!c2
Ex. 2 Use the Pythagorean thm to find the missing side length to the nearest tenth.
a.
b.
c.
c
6
2
5
note:
11
x
19
10
1. When simplifying radicals do not give a decimal as an answer
2. When simplifying radicals find perfect square multiples first
Product property of radicals-
a • b = ab
Ex. 3 Simplify the radical expression
a. 20
b. 112
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c.
75
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Ex. 4 Multiply the radicals, then simplify if possible.
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a. 3 • 5
b. 3 • 27
c. 5 3 • 3
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Hwk. P. 539-541 1-51 odd, 57-67odd
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State Goals Covered
9-11-01
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