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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. 170 (page 797)

Add and subtract radical expressions in the following exercises, simplify.
(a) $\sqrt{11 b} - 5 \sqrt{11 b} + 3 \sqrt{11 b}$
(b) $8 \sqrt[4]{11 c d} + 5 \sqrt[4]{11 c d} - 9 \sqrt[4]{11 c d}$

Short Answer

Expert verified

The values are-

(a) $- \sqrt{11 b}$
(b) $4 \sqrt[4]{11 c d}$

Step by step solution

01

Step 1. Solving for part (a)

We have $\sqrt{11 b} - 5 \sqrt{11 b} + 3 \sqrt{11 b}$ .

Combine, because they are like terms.

This will give us,

$= \sqrt{11 b} - 5 \sqrt{11 b} + 3 \sqrt{11 b} = 4 \sqrt{11 b} - 5 \sqrt{11 b} = - \sqrt{11 b}$

02

Step 2. Solving for part (b)

We have $8 \sqrt[4]{11 c d} + 5 \sqrt[4]{11 c d} - 9 \sqrt[4]{11 c d}$ .

Combine, because they are like terms.

This will give us,

$= 8 \sqrt[4]{11 c d} + 5 \sqrt[4]{11 c d} - 9 \sqrt[4]{11 c d} = 13 \sqrt[4]{11 c d} - 9 \sqrt[4]{11 c d} = 4 \sqrt[4]{11 c d}$

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Most popular questions from this chapter

Simplify: $\sqrt{\frac{24 p^{3}}{49}} .$

Simplify:

$(a) \sqrt{180 m^{9} n^{11}} (b) \sqrt{72 x^{6} y^{5}} (c) \sqrt{80 x^{7} y^{4}} .$

Simplify:

$(a) \sqrt[3]{- 64} (b) \sqrt[4]{- 81} .$

In the following exercises, use the Product Property to simplify radical expression $\sqrt{27}$ .

Use the Quotient Property to simplify square roots.

(a) $\sqrt{\frac{32 x^{5} y^{3}}{18 x^{3} y}}$

(b) $\sqrt[3]{\frac{5 x^{6} y^{9}}{40 x^{5} y^{3}}}$

(c) $\sqrt[4]{\frac{5 a^{8} b^{6}}{80 a^{3} b^{2}}}$

See all solutions

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