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Geometric Mean of two values is the square root of their product, in this case sqrt(3 x 21) ie sqrt 63, which is a whisker under 8, actually 7.94 to nearest hundredth, giving a common ratio of 2.646.

3 x 2.646 = 7.938, 7.938 x 2.646 = 21.004

Q: What is the geometric mean of 3 and 21?

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√9x1=3

square root of 18

√3 x √300 = 1.73205080756888 x 17.3205080756888 = 30

√3 x √15 = 1.73205080756888 x 3.87298334620742 = 6.70820393249937

No, the geometric mean is not the same as the mean of two numbers.

Related questions

The arithmetic mean is simply (7+21)sqrt(3)/2 = 14sqrt(3) = 24.25 (to 2 d.p.) The geometric mean is sqrt [ 7sqrt(3) x 21sqrt(3) ] = sqrt [ 7 x 21 x 3 ] = sqrt [21 x 21] = 21

The mean is generally the same as the average. (there are the geometric and harmonic means, but they need not concern most people here). The mean of 3 numbers, each of which is 21, is also 21.

The geometric mean of 3 and 27 is 9.0

The geometric mean of 16 and 3 is 6.92820323028

geometric mean of 14 and 24=√(14x24)=√336=4√21

The geometric mean of 3 an 48 is 12 [√(3 x 48) = √144 = 12]

The geometric mean of 3 and 75 is 15.0

Geometric mean of 5 and 15= √(5x15)=√75=5√3

What is the sum of the first 27 terms of the geometric sequence -3, 3, - 3, 3, . . . ?

6.7082

Just use the definition of geometric mean. Multiply all the numbers together, then take the square root. (In this case, it is the square, or second, root, because there are two numbers; for the geometric mean of three numbers, you take the cubic root, etc.)

The geometric mean of 5 and 15 is sqrt (5x15)= sqrt (75)= 5sqrt(3).