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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. 9.76 (page 1059)

Simplify: $3 \sqrt{20} - 7 \sqrt{45}$

Short Answer

Expert verified

The solution is $- 15 \sqrt{5} .$

Step by step solution

01

Step 1. Given information

Roots: $3 \sqrt{20} - 7 \sqrt{45}$

02

Step 2. Calculation

We have,

$3 \sqrt{20} - 7 \sqrt{45} = 3 \cdot \sqrt{4} \cdot \sqrt{5} - 7 \cdot \sqrt{9} \cdot \sqrt{5} = 3 \cdot 2 \cdot \sqrt{5} - 7 \cdot 3 \cdot \sqrt{5} = 6 \sqrt{5} - 21 \sqrt{5} = - 15 \sqrt{5}$

Therefore, the solution is $- 15 \sqrt{5} .$

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Most popular questions from this chapter

In the following exercises, solve:

$\sqrt{8 + 2 r} = \sqrt{3 r + 10}$ .

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$(a) \sqrt{u} + 1 = \sqrt{u + 4} (b) \sqrt{n - 5} + 4 = \sqrt{3 n + 7}$

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