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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 8: Q18. (page 288)

Find the geometric mean between the two numbers.
$49$ and $25$

Short Answer

Expert verified

Geometric mean is $35$ .

Step by step solution

01

Step 1. Given information.

The given two numbers are,

$49$ and $25$

02

Step 2. Formula used.

Geometric mean between two numbers $a$ and $b$

$r = \sqrt{a_{1} 脳 a_{2}}$

Here,

$\begin{matrix} a_{1} = 49 \\ a_{2} = 25 \end{matrix}$

03

Step 3. Calculate the mean.

$\begin{matrix} Mean = \sqrt{a_{1} 脳 a_{2}} \\ = \sqrt{49 脳 25} \\ = \sqrt{7^{2} 脳 5^{2}} \\ = 7 脳 5 \\ = 35 \end{matrix}$

04

Step 4. Neglect negative sign.

Since, square root is positive quantity.

Therefore, the geometric mean between the two numbers 49 and 25 is 35.

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