explain how radical expressions relate to the Mona Lisa, assignment help

Writing in Math Refer to the information given on

page 428

to explain how radical expressions relate to the Mona Lisa. Use the properties in this lesson to explain how you could rewrite the radical expression.

7-5
Operations with
Radical Expressions
Main Ideas
• Simplify radical
expressions
• Add, subtract,
multiply, and divide
radical expressions
GET READY for the Lesson
Golden rectangles have been used by
artists and architects to create beautiful
designs. For example, if you draw a
rectangle around the Mona Lisa’s face,
the resulting quadrilateral is the golden
rectangle. The ratio of the lengths of the
sides of a golden rectangle is
In this lesson, you will learn how to
simplify radical expressions like
V5-1
New Vocabulary
rationalizing the
denominator
like radical expressions
conjugates
2
Simplify Radicals The properties you have used to simplify radical
expressions involving square roots also hold true for expressions
involving with roots.
Product
KEY CONCEPT
Properties of Radicals
For any real numbers a and b and any integer n > 1, the following
properties hold true.
Property
Words
Examples
1. If n is even and a and bare V2.V8 – V16, or 4, and
Property both nonnegative, then
33. 19 – V27, or 3
Vab – Va. Vb, and
2. If n is odd, then
Vabva.vb.
Quotient
va
if all roots
Property
vo
are defined and by 0.
v = 127, or 3
Follow these steps to simplify a square root.
Step 1 Factor the radicand into as many squares as possible.
Step 2 Use the Product Property to isolate the perfect squares.
Step 3 Simplify each radical.
408 Chapter 7 Radical Fouations and inequalities