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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 geometric means of 4 and 25?

geometric mean of 4 and 25=√(4x25)=√100=10


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)]