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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. 251 (page 1076)

Evaluate the expression :
$(5 \sqrt{2 d^{7}}) (3 \sqrt{50 d^{3}})$ .

Short Answer

Expert verified

$75 \sqrt{2} d^{5}$

Step by step solution

Step 1. Given Information.

The given expression is :

$(5 \sqrt{2 d^{7}}) (3 \sqrt{50 d^{3}})$ .

Step 2. Evaluate.

Multiplying the terms, we get

$= (5 \sqrt{2 d^{7}}) (3 \sqrt{50 d^{3}}) = 5 脳 3 脳 \sqrt{2} 脳 \sqrt{50} 脳 d^{\frac{7}{2}} 脳 d^{\frac{3}{2}} = 15 脳 \sqrt{2} 脳 \sqrt{25 脳 2} 脳 d^{\frac{7}{2}} 脳 d^{\frac{3}{2}} = 15 脳 5 脳 \sqrt{2} 脳 d^{\frac{7}{2}} 脳 d^{\frac{3}{2}} = 75 \sqrt{2} d^{5} .$

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Evaluate the expression :52d7350d3.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Evaluate.

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Evaluate the expression :
$(5 \sqrt{2 d^{7}}) (3 \sqrt{50 d^{3}})$ .