Recall the definition of the geometric mean. Let m represent a number.
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Practice makes perfect
Let's begin with recalling that the geometric mean of two positive numbers a and b is the number x that satisfies the following equation.
x=sqrt(a* b)
In our exercise, we are given that the geometric mean of a number and 4 times the number is 22. Let m represent a number. This means that the second number will be 4m. Let's substitute these numbers into the above equation.
22=sqrt(m* 4m)
Now we will solve the equation for m.
Our next step will be to take a square root of both sides of the equation. Notice that, since m is a positive number, we will only consider a positive case when taking a square root of m.
