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Chapter 9: Q 466. (page 1033)

Simplify:

(a) 324

(b)647

Short Answer

Expert verified

(a) 324=244

(b)647=227

Step by step solution

01

Part (a) Step 1: Given Information

The given expression is324

02

Part (a) Step 2: Simplification

Rewrite radicand as product using greatest perfect fourth power factor

=2424

Rewrite as product of two radicals

=24424

Simplify

=224

03

Part (b) Step 1: Given Information

The given expression is647

04

Part (b) Step 2: Simplification

Rewrite radicand as product using greatest perfect seventh power factor

=272-17

Rewrite using Quotient rule

=27727

Simplify

=227

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