Question

Find the geometric mean of 36 and 16.

Answer 1

geometric mean of two numbers a and b is defined as:\[\sqrt{a\times b}\]

Answer 2

\[\sqrt{36X16}\]

Answer 3

So would i do that?

Answer 4

yes

Answer 5

Hint: \(\sqrt{36 \cdot 16}=\sqrt {36} \sqrt{16}\)

Answer 6

you should make use of the fact that:\[36=6^2\]and\[16=4^2\]

Answer 7

so the answer would be 96?

Answer 8

how did you get 96?

Answer 9

the square root of 36X16

Answer 10

you can write this as:\[\sqrt{36*16}=\sqrt{36}\times\sqrt{16}\]
now, what is \(\sqrt{36}\)?
and what is \(\sqrt{16}\)?

Answer 11

6 and 4

Answer 12

correct, so you would get:\[\sqrt{36*16}=\sqrt{36}\times\sqrt{16}=6*4=?\]

Answer 13

so the geometric mean of 36 and 16 is 24?

Answer 14

correct

Answer 15

all right thx c:

Answer 16

yw