The geometric mean between pair of numbers 4√3 and 10√3 is 10.95
We know that for a sequence of numbers x1, x2, . . . , xn
The formula of geometric mean is,
[tex]\Pi=\sqrt[n]{x_1.x_2.x_3...x_n}[/tex]
In this question, we have been given two numbers 4√3 and 10√3
We need to find the geometric mean between pair of numbers, 4√3 and 10√3.
Using the formula for the geometric mean,
[tex]\Pi=\sqrt[n]{x_1.x_2.x_3...x_n}[/tex]
In this question, we have two numbers.
So, the value of n is 2.
[tex]\Pi=\sqrt{4\sqrt{3}\times 10\sqrt{3} } \\\\\Pi=\sqrt{4\times 10 \times \sqrt{3}\times \sqrt{3} } \\\\\Pi=\sqrt{40 \times 3 } \\\\\Pi=\sqrt{120}\\\\ \Pi=2\sqrt{30}\\\\\Pi=10.95[/tex]
Therefore, the geometric mean between pair of numbers 4√3 and 10√3 is 10.95
Learn more about the geometric mean here:
brainly.com/question/8934175
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