Simplify: a. √(25/16)b. √150x3 / √6x

Name: Simplify: a. √(25/16)b. √150x3 / √6x
Uploaded: 2024-03-20T06:38:58.000Z
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Description: Simplify: a. √(25/16)b. √150x3 / √6x

a The given expression is 2516. Simplifying the expression, 2516=5242=542×12=54.

Answered: Simplify: a. √(25/16) b. √150x3 /…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter2: Working With Real Numbers

Section2.5: The Distributive Property

Problem 44WE

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Question

Simplify:

a. √(25/16)

b. √150x³ / √6x

Expert Solution

Step 1

$(a)$ The given expression is $\sqrt{\frac{25}{16}}$ .

Simplifying the expression,

$\begin{array}{rcl} \sqrt{\frac{25}{16}} & = & \sqrt{\frac{5^{2}}{4^{2}}} \\ = & {(\frac{5}{4})}^{2 \times \frac{1}{2}} \\ = & \frac{5}{4} . \end{array}$

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