Algebra 2 / Trigonometry 1.3: Square Roots Page 2

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Algebra 2 / Trigonometry
Algebra 2 / Trigonometry
Concord High
Concord High
1.3: Square Roots
1.3: Square Roots
RNBriones
RNBriones
1-3
1-3
Square Roots
Square Roots
Example 2: Simplifying Square–Root Expressions
Example 2: Simplifying Square–Root Expressions
Simplify each expression.
Simplify each expression.
A.
C.
Find a perfect square factor of 32.
Product Property of Square Roots
Product Property of Square Roots
D.
B.
Quotient Property of Square Roots
Quotient Property of Square Roots
Holt Algebra 2
Holt Algebra 2
1-3
1-3
Square Roots
Square Roots
Check It Out! Example 2
Check It Out! Example 2
Simplify each expression.
Simplify each expression.
A.
C.
Product Property of Square Roots
Find a perfect square factor of 48.
Product Property of Square Roots
D.
B.
Quotient Property of Square Roots
Quotient Property of Square Roots
Simplify.
Holt Algebra 2
Holt Algebra 2
1-3
1-3
Square Roots
Square Roots
Example 3: Rationalizing the Denominator
If a fraction has a denominator that is a
Simplify by rationalizing the denominator.
square root, you can simplify it by
rationalizing the denominator
rationalizing the denominator. To do
this, multiply both the numerator and
denominator by a number that produces a
Multiply by a form of 1.
perfect square under the radical sign in
the denominator.
= 2
Holt Algebra 2
Holt Algebra 2
2

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