Q. 504 In the following exercises, use ... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 11: Q. 504 (page 1069)

In the following exercises, use the Quotient Property to simplify square roots.
$(a) \sqrt{\frac{28 p^{7}}{q^{2}}} (b) \sqrt[3]{\frac{81 s^{8}}{t^{3}}} (c) \sqrt[4]{\frac{64 p^{15}}{q^{12}}}$

Short Answer

Expert verified

The required answers are $\frac{2 p^{3} \sqrt{7 p}}{q}, \frac{3 s^{2} \sqrt[3]{3 s^{2}}}{t} a n d$ $\frac{2 p^{3} \sqrt[4]{4 p^{3}}}{q^{3}}$

Step by step solution

Step 1. Given Information

The given expressions are

$(a) \sqrt{\frac{28 p^{7}}{q^{2}}} (b) \sqrt[3]{\frac{81 s^{8}}{t^{3}}} (c) \sqrt[4]{\frac{64 p^{15}}{q^{12}}}$

Part(a) Step 1. Calculation

Simplify the expression by rewriting the fraction using quotient property and product property.
$\sqrt{\frac{28 p^{7}}{q^{2}}} = \frac{\sqrt{28 p^{7}}}{\sqrt{q^{2}}} = \frac{\sqrt{4 p^{6}} 脳 \sqrt{7 p}}{\sqrt{q^{2}}} = \frac{2 p^{3} \sqrt{7 p}}{q}$

Part(b) Step 1. Calculation

Simplify the expression by rewriting the fraction using quotient property and product property.
$\sqrt[3]{\frac{81 s^{8}}{t^{3}}} = \frac{\sqrt[3]{81 s^{8}}}{\sqrt[3]{t^{3}}} = \frac{\sqrt[3]{27 s^{6}} 脳 \sqrt[3]{3 s^{2}}}{\sqrt[3]{t^{3}}} = \frac{3 s^{2} \sqrt[3]{3 s^{2}}}{t}$

Part(c) Step 1. Calculation

Simplify the expression by rewriting the fraction using quotient property and product property.
$\sqrt[4]{\frac{64 p^{15}}{q^{12}}} = \frac{\sqrt[4]{64 p^{15}}}{\sqrt[4]{q^{12}}} = \frac{\sqrt[4]{16 p^{12}} 脳 \sqrt[4]{4 p^{3}}}{\sqrt[4]{q^{12}}} = \frac{2 p^{3} \sqrt[4]{4 p^{3}}}{q^{3}}$

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91影视

In the following exercises, use the Quotient Property to simplify square roots.
$(a) \sqrt{\frac{28 p^{7}}{q^{2}}} (b) \sqrt[3]{\frac{81 s^{8}}{t^{3}}} (c) \sqrt[4]{\frac{64 p^{15}}{q^{12}}}$

Short Answer

Step by step solution

Step 1. Given Information

Part(a) Step 1. Calculation

Part(b) Step 1. Calculation

Part(c) Step 1. Calculation

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91影视

In the following exercises, use the Quotient Property to simplify square roots.(a)28p7q2(b)81s8t33(c)64p15q124

Short Answer

Step by step solution

Step 1. Given Information

Part(a) Step 1. Calculation

Part(b) Step 1. Calculation

Part(c) Step 1. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Theoretical and Mathematical Physics

Calculus

Probability and Statistics

Applied Mathematics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, use the Quotient Property to simplify square roots.
$(a) \sqrt{\frac{28 p^{7}}{q^{2}}} (b) \sqrt[3]{\frac{81 s^{8}}{t^{3}}} (c) \sqrt[4]{\frac{64 p^{15}}{q^{12}}}$