Question

What is the geometric mean of 7 and 12?
1
9.5
2√21
4√21<--

Answer 1

Checking answers and the first choice is 1 5/7

Answer 2

hmm, how did you arrive at that answer?

Answer 3

7 x 12 = 84 square root of 84 should be 4 square root 21

Answer 4

why?

Answer 5

4 x 21 = 84 and then you simplify it further so the answer is actually 2 square root 21

Answer 6

yes

Answer 7

Cool thanks

Answer 8

Let G be the geometric mean of 7 and 12

\[G^2 = 7 \times 12 \rightarrow G^2 = 84 \rightarrow G = \sqrt{84 }\]
\[\rightarrow G = \sqrt{84 } \rightarrow G = \sqrt{4 \times 21} \rightarrow G = 2 \sqrt{21} \]

@ILoVeMaTh3