To find the geometric mean of the numbers 24 and 32, follow these steps:
1. Multiply the two numbers together.
- The numbers given are 24 and 32.
- Calculate the product:
[tex]\[
24 \times 32 = 768
\][/tex]
2. Take the square root of the product.
- The product from the multiplication step is 768.
- Calculate the square root of 768:
[tex]\[
\sqrt{768} \approx 27.712812921102035
\][/tex]
3. The geometric mean is the result from the square root calculation.
- So, the geometric mean of 24 and 32 is approximately [tex]\( 27.712812921102035 \)[/tex].
Therefore, the geometric mean of 24 and 32 is approximately [tex]\( 27.713 \)[/tex] (rounded to three decimal places).
