3 years ago

Find the geometric mean of 24 and 32

Mathematics

2 answers:

Maru [420]3 years ago

8 0

Answer:

27√39

Step-by-step explanation:

To calculate the geometric mean we need to first of all multiply 24 and 32 and take the square root of it (i.e. 24*32 is 768, √768 is 27.712.....). However, in this case, we need to represent the answer in a simplified surd. To do this we need to find the highest possible perfect square that is below 768. Here it is 27 because 27*27 equals 729. Now we can go ahead and subtract 768 by 729. We get 39. So now we got two different surds. √729 and √39. We can simplify the √729 to 27. Thus our answer is the combination of both 27*√39 or 27√39.

Neko [114]3 years ago

6 0

Answer:

its 16 √3

Step-by-step explanation:

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