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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 9: Q. 206 (page 1064)

In the following exercise, simplify: $2 \sqrt{28 x^{2}} - \sqrt{63 x^{2}} + 6 x \sqrt{7}$

Short Answer

Expert verified

The solution is $7 x \sqrt{7} .$

Step by step solution

01

Step 1. Given information

Roots: $2 \sqrt{28 x^{2}} - \sqrt{63 x^{2}} + 6 x \sqrt{7}$

02

Step 2. Calculation

We have,

$2 \sqrt{28 x^{2}} - \sqrt{63 x^{2}} + 6 x \sqrt{7} = 2 路 \sqrt{4 x^{2}} 路 \sqrt{7} - \sqrt{9 x^{2}} 路 \sqrt{7} + 6 x 路 \sqrt{7} = 2 路 2 x 路 \sqrt{7} - 3 x 路 \sqrt{7} + 6 x 路 \sqrt{7} = 4 x \sqrt{7} - 3 x \sqrt{7} + 6 x \sqrt{7} = 7 x \sqrt{7}$

Therefore, the solution is $7 x \sqrt{7} .$

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Most popular questions from this chapter

In the following exercises, simplify by rationalizing the denominator

$\frac{\sqrt{5}}{\sqrt{n} - \sqrt{7}}$

(a) Solve the equation $\sqrt{r + 4} - r + 2 = 0$

(b) Explain why one of the 鈥渟olutions鈥� that was found was not actually a solution to the equation.

In the following exercises, solve.

(a) $\sqrt{v - 10} + 10 = v$

(b)role="math" localid="1647988729108" $\sqrt{y + 4} - y + 2 = 0$

Try It.

Solve: $\sqrt{x} + 3 = \sqrt{x + 5}$

Try It.

Katie wants to plant a square lawn in her front yard. She has enough sod to cover an area of $370$ square feet. Use the formula $s = \sqrt{A}$ to find the length of each side of her lawn. Round your answer to the nearest tenth of a foot.

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