Question

Find the geometric mean of 16 and 36 ​

Answer 1

Answer:

24 is the geometric mean for the two numbers..

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Answer 2

Answer:

The geometric mean of 16 and 36 is 24.

Step-by-step explanation:

Given two numbers are 16 and 36.

Here we want to find geometric mean of these two numbers.

We know if a and b two numbers the geometric mean of a and b is $\sqrt{ab}$

For example we are taking two numbers 3 and 9.

Then geometric mean of 3 and 9 is

$\sqrt{3 \times 9} \\ = \sqrt{3 \times 3 \times 3} \\ = 3 \sqrt{3}$

Here two numbers are 16 and 36.

Then by rule, geometric mean of 16 and 36 is

$\sqrt{16 \times 36} \\ = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3} \\ = 2 \times 2 \times 2 \times 3 \\ = 24$

This is a problem of Algebra.

Some important Algebra formulas.

Some important Algebra formulas.(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

a² − b² = (a + b)(a − b)

a² + b² = (a + b)² − 2ab

a² + b² = (a − b)² + 2ab

a³ − b³ = (a − b)(a² + ab + b²)

a³ + b³ = (a + b)(a² − ab + b²)

Know more about Algebra,

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