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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 8: Q. 229 (page 799)

Simplify:
$\sqrt{3} 路 \sqrt{21}$

Short Answer

Expert verified

The value of the given expression is $3 \sqrt{7}$

Step by step solution

01

Step 1. Given information

The given expression is $\sqrt{3} 路 \sqrt{21}$

02

Step 2. Simplifying the expression

We know that, $\sqrt[n]{a} 路 \sqrt[n]{b} = \sqrt[n]{a b}$

Then,

role="math" localid="1644779998556" $\sqrt{3} 路 \sqrt{21} = \sqrt{3 路 21} = \sqrt{63} = \sqrt{9 路 7} = 3 \sqrt{7} [\sqrt{9} = 3]$

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