Chapter 8: Q20. (page 288)

Find the geometric mean between the two numbers.
$16$ and $24$

Short Answer

Expert verified

Geometric mean is $8 \sqrt{6}$ .

Step by step solution

Step 1. Given information.

The given two numbers are,

$16$ and $24$

Step 2. Formula used.

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

$r = \sqrt{a_{1} \times a_{2}}$

Here,

$\begin{matrix} a_{1} = 16 \\ a_{2} = 24 \end{matrix}$

Step 3. Calculate the mean.

$\begin{matrix} Mean = \sqrt{a_{1} \times a_{2}} \\ = \sqrt{16 \times 24} \\ = \sqrt{4^{2} \times 2^{2} \times 6} \\ = 4 \times 2 \sqrt{6} \\ = 8 \sqrt{6} \end{matrix}$

Step 4. Neglect negative sign.

Since, square root is positive quantity.

Therefore, the geometric mean between the two numbers $16$ and $24$ is, $8 \sqrt{6}$ .

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Find the geometric mean between the two numbers.
$16$ and $24$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Formula used.

Step 3. Calculate the mean.

Step 4. Neglect negative sign.

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Find the geometric mean between the two numbers.16and 24

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Formula used.

Step 3. Calculate the mean.

Step 4. Neglect negative sign.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Discrete Mathematics

Logic and Functions

Calculus

Pure Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Find the geometric mean between the two numbers.
$16$ and $24$