Q.517 In the following exercises, simp... [FREE SOLUTION]

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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.517 (page 853)

In the following exercises, simplify
$(a) 7 \sqrt{2} - 3 \sqrt{2} (b) 7 \sqrt[3]{p} + 2 \sqrt[3]{p} (c) 5 \sqrt[3]{x} - 3 \sqrt[3]{x}$

Short Answer

Expert verified

Simplifying

a) $7 \sqrt{2} - 3 \sqrt{2} = 4 \sqrt{2}$

b) $7 \sqrt[3]{p} + 2 \sqrt[3]{p} = 9 \sqrt[3]{p}$

c) $5 \sqrt[3]{x} - 3 \sqrt[3]{x} = 2 \sqrt[3]{x}$

Step by step solution

Step 1. Given information

Here we have given,

$(a) 7 \sqrt{2} - 3 \sqrt{2} (b) 7 \sqrt[3]{p} + 2 \sqrt[3]{p} (c) 5 \sqrt[3]{x} - 3 \sqrt[3]{x}$

Step 2. Concept

Here we will use,

Distributive property:

a(b + c) = ab + ac

Part (a) Step 1. Explanation

We have,

$7 \sqrt{2} - 3 \sqrt{2}$

Factoring common factor out,

$7 \sqrt{2} - 3 \sqrt{2} = \sqrt{2} (7 - 3)$

$鈬� 7 \sqrt{2} - 3 \sqrt{2} = 4 \sqrt{2}$

Part (a) Step 2. Conclusion

Hence, value of radical expression $7 \sqrt{2} - 3 \sqrt{2}$ is $4 \sqrt{2}$

Part (b) Step 1. Explanation

We have,

$7 \sqrt[3]{p} + 2 \sqrt[3]{p}$

Factoring common factor out,

role="math" localid="1645081089020" $7 \sqrt[3]{p} + 2 \sqrt[3]{p} = (7 + 2) \sqrt[3]{p}$

$鈬� 7 \sqrt[3]{p} + 2 \sqrt[3]{p} = 9 \sqrt[3]{p}$

Part (b) Step 2. Conclusion

Hence, value of radical expression $7 \sqrt[3]{p} + 2 \sqrt[3]{p}$ is, $9 \sqrt[3]{p}$ .

Part (c) Step 1. Explanation

We have,

$5 \sqrt[3]{x} - 3 \sqrt[3]{x}$

Factoring common factor out,

$5 \sqrt[3]{x} - 3 \sqrt[3]{x} = (5 - 3) \sqrt[3]{x}$

$鈬� 5 \sqrt[3]{x} - 3 \sqrt[3]{x} = 2 \sqrt[3]{x}$

Part (c) Step 2. Conclusion

Hence, value of radical expression $5 \sqrt[3]{x} - 3 \sqrt[3]{x}$ is $2 \sqrt[3]{x}$ .

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91影视

In the following exercises, simplify
$(a) 7 \sqrt{2} - 3 \sqrt{2} (b) 7 \sqrt[3]{p} + 2 \sqrt[3]{p} (c) 5 \sqrt[3]{x} - 3 \sqrt[3]{x}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Concept

Part (a) Step 1. Explanation

Part (a) Step 2. Conclusion

Part (b) Step 1. Explanation

Part (b) Step 2. Conclusion

Part (c) Step 1. Explanation

Part (c) Step 2. Conclusion

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In the following exercises, simplify(a)72-32(b)7p3+2p3(c)5x3-3x3

Short Answer

Step by step solution

Step 1. Given information

Step 2. Concept

Part (a) Step 1. Explanation

Part (a) Step 2. Conclusion

Part (b) Step 1. Explanation

Part (b) Step 2. Conclusion

Part (c) Step 1. Explanation

Part (c) Step 2. Conclusion

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Most popular questions from this chapter

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Pure Maths

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Study anywhere. Anytime. Across all devices.

In the following exercises, simplify
$(a) 7 \sqrt{2} - 3 \sqrt{2} (b) 7 \sqrt[3]{p} + 2 \sqrt[3]{p} (c) 5 \sqrt[3]{x} - 3 \sqrt[3]{x}$