Q. 330 Simplify Expressions -a.10y35yb.... [FREE SOLUTION]

91影视

Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 9: Q. 330 (page 1090)

Simplify Expressions -
a. $\frac{\sqrt{10 y^{3}}}{\sqrt{5 y}}$
b. $\sqrt{\frac{108 n^{7}}{243 n^{3}}}$

Short Answer

Expert verified

Part (a). The simplification of Expression will be - $y \sqrt{2}$

Part (b). The simplification of Expression will be - $\frac{2 n^{2}}{3}$

Step by step solution

Part (a). Step 1. Given Data

Expressions -

$\frac{\sqrt{10 y^{3}}}{\sqrt{5 y}}$

Part (a). Step 2. To Find

Simplify The Expressions.

Part (a). Step 3. Explanation

Expression -

$\frac{\sqrt{10 y^{3}}}{\sqrt{5 y}}$

Neither radicand is a perfect square, so rewrite using the quotient property of square roots -

$\frac{\sqrt{10 y^{3}}}{\sqrt{5 y}} \sqrt{\frac{10 y^{3}}{5 y}}$

Part (a). Step 4. Calculation

Remove common factors in the numerator and denominator.

$\sqrt{\frac{10 y^{3}}{5 y}} \sqrt{\frac{5 脳 2 脳 y^{2} 脳 y}{5 y}} \sqrt{2 y^{2}}$

Simplify -

$\sqrt{2 y^{2}} y \sqrt{2}$

Part (b). Step 1. Given Data

Expressions

$\frac{\sqrt{108 n^{7}}}{\sqrt{243 n^{3}}}$

Part (b). Step 2. To Find

Simplify The Expressions.

Part (b). Step 3. Explanation

Expression -

$\frac{\sqrt{108 n^{7}}}{\sqrt{243 n^{3}}}$

Part (b). Step 4. Calculation

Remove common factors in the numerator and denominator.

$\sqrt{\frac{108 n^{7}}{243 n^{3}}} \sqrt{\frac{4 脳 27 脳 n^{4} 脳 n^{3}}{9 脳 27 脳 n^{3}}} \sqrt{\frac{4 n^{4}}{9}}$

Simplify -

$\sqrt{\frac{4 n^{4}}{9}} \frac{2 n^{2}}{3}$

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91影视

Simplify Expressions -
a. $\frac{\sqrt{10 y^{3}}}{\sqrt{5 y}}$
b. $\sqrt{\frac{108 n^{7}}{243 n^{3}}}$

Short Answer

Step by step solution

Part (a). Step 1. Given Data

Part (a). Step 2. To Find

Part (a). Step 3. Explanation

Part (a). Step 4. Calculation

Part (b). Step 1. Given Data

Part (b). Step 2. To Find

Part (b). Step 3. Explanation

Part (b). Step 4. Calculation

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91影视

Simplify Expressions -a.10y35yb.108n7243n3

Short Answer

Step by step solution

Part (a). Step 1. Given Data

Part (a). Step 2. To Find

Part (a). Step 3. Explanation

Part (a). Step 4. Calculation

Part (b). Step 1. Given Data

Part (b). Step 2. To Find

Part (b). Step 3. Explanation

Part (b). Step 4. Calculation

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Geometry

Discrete Mathematics

Applied Mathematics

Logic and Functions

Calculus

Study anywhere. Anytime. Across all devices.

Simplify Expressions -
a. $\frac{\sqrt{10 y^{3}}}{\sqrt{5 y}}$
b. $\sqrt{\frac{108 n^{7}}{243 n^{3}}}$