## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson

# Chapter 10 - Exponents and Radicals - 10.3 Multiplying Radical Expressions - 10.3 Exercise Set - Page 647: 45

#### Answer

$f(x)=|x-1|\sqrt[]{5}$

#### Work Step by Step

Using the properties of radicals, the given equation, $f(x)=\sqrt[]{5x^2-10x+5} ,$ simplifies to \begin{array}{l}\require{cancel} f(x)=\sqrt[]{5(x^2-2x+1)} \\\\ f(x)=\sqrt[]{5(x-1)^2} \\\\ f(x)=\sqrt[]{(x-1)^2\cdot5} \\\\ f(x)=|x-1|\sqrt[]{5} \end{array}

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