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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 9: Q 9.90. (page 1067)

Simplify: $(3 \sqrt{3}) (3 \sqrt{6})$ .

Short Answer

Expert verified

The required answer is $27 \sqrt{2}$ .

Step by step solution

01

Step 1. Given information.

The given expression is:

$(3 \sqrt{3}) (3 \sqrt{6})$

02

Step 2. Simplify the expression.

$(3 \sqrt{3}) (3 \sqrt{6})$

Multiply using the product property,

$9 \sqrt{18}$

Simplify the radical,

$9 \sqrt{9} \cdot \sqrt{2}$

Simplify,

$9 \cdot 3 \cdot \sqrt{2} 27 \sqrt{2}$

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Most popular questions from this chapter

Solve: $\sqrt{3 m + 2} - 5 = 0$

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Try It.

Sergio wants to make a square mosaic as an inlay for a table he is building. He has enough tile to cover an area of $2704$ square centimeters. Use the formula $s = \sqrt{A}$ to find the length of each side of his mosaic. Round your answer to the nearest tenth of a centimeter.

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