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16. Geometric mean of two numbers is the square root of their product.

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Q: 4 is the geometric mean of 1 and what number?
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10 is the geometric mean of 4 and what number?

25


What is the geometric mean of 4 and 1 ninth?

Their geometric mean is:sqrt(42*(1/9)2)=sqrt(16*(1/81))=sqrt(16/81)=4/9-------------------The geometric mean of a set of n terms is equal to the nth root of the product of those n terms. The geometric mean of 4 and 1/9 is sqrt(4*(1/9)) = sqrt(4/9) = 2/3.


What number can be put under 1 and over 4 and make both have the same value?

The geometric mean of 1 and 4, calculated as square root of (1 x 4). The answer is 2.


What is geometric mean between 1 and 4 in maths?

It is 2.0


What is the geometric mean of 4 and 5?

The geometric mean of 4 and 5 is 4.472135955


What is the geometric mean of the two numbers 1 and 4?

GM(1, 4) = sqrt(1*4) = sqrt(4) = 2


How do you find a geometric mean?

If there are only k numbers x(1),x(2)....,x(k), the geometric mean is the kth root of the product of these k numbers. Example: find the geometric mean of 4,3,7,8 We want the fourth root of 4 x 3 x 7 x 8 = 672 =(672)^(1/4) = 5.09146 is the geometric mean. The geometric mean is normally defined only for a set of positive numbers.


Is 18 the geometric mean of 4 and 9?

No. Geometric mean of n numbers is the nth root of the product of the n numbers. → geometric mean of 4 and 9 is √(4×9) = √36 = 6.


Geometric mean of 4 and 4?

4.0


What is the geometric mean of 8 and 16?

Geometric mean of 8 and 16 is: 11.313708498984761 Look at link: "Calculation of the geometric mean of two numbers".


What is the Relation between geometric mean and arithmetic mean?

The mean of the numbers a1, a2, a3, ..., an is equal to (a1 + a2 + a3 +... + an)/n. This number is also called the average or the arithmetic mean.The geometric mean of the positive numbers a1, a2, a3, ... an is the n-th roots of [(a1)(a2)(a3)...(an)]Given two positive numbers a and b, suppose that a< b. The arithmetic mean, m, is then equal to (1/2)(a + b), and, a, m, b is an arithmetic sequence. The geometric mean, g, is the square root of ab, and, a, g, b is a geometric sequence. For example, the arithmetic mean of 4 and 25 is 14.5 [(1/2)(4 + 25)], and arithmetic sequence is 4, 14.5, 25. The geometric mean of 4 and 25 is 10 (the square root of 100), and the geometric sequence is 4, 10, 25.It is a theorem of elementary algebra that, for any positive numbers a1, a2, a3, ..., an, the arithmetic mean is greater than or equal to the geometric mean. That is:(1/n)(a1, a2, a3, ..., an) &ge; n-th roots of [(a1)(a2)(a3)...(an)]


What is the geometric means of 4 and 25?

geometric mean of 4 and 25=&radic;(4x25)=&radic;100=10