For any two positive numbers a and b, the geometric mean is the positive number x such that ax= xb .
10sqrt(5)
For any two positive numbers a and b, the geometric mean is the positive number x such that ax= xb. Since we know that x must be positive, the following equation is the definition of a geometric mean.
x= sqrt(a b)We are asked to find the geometric mean of the given pair of numbers.
50 and 10
Let's substitute them into the equation and simplify the right-hand side to find the mean x.
