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Chapter 8: Q. 241 (page 799)

Explain the when a radical expression is in simplest form.

Short Answer

Expert verified

The radical expression is in its simplest form when it cannot be further reduced.

Step by step solution

01

Step 1. Given

To explain when the radical expression is in simplest form.

02

Step 2. Consider the expression

Consider an expression 27+43

Simplify this expression,

27+43=323+43

=33+43

=73

which is in its simplest form, and it cannot be reduced further.

So the simplest form is the one that cannot be reduced further.

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Most popular questions from this chapter

Explain what is meant by the nth root of a number.

In the following exercises, simplify.

(a) -6432

(b) -64-32

(c)-6432

Use the Quotient Property to simplify square roots.

(a) 75r9s8

(b) 54a8b33

(c) 64c5d44

In the following exercises, use the Product Property to simplify radical expressions450

In the following exercises, use the Product Property to simplify radical expressions147
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