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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

1. Geometric Mean

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Exercise 26 Page 624

For any two positive numbers a and b, the geometric mean is the positive number x such that ax= xb .

sqrt(12) or 3.5

Practice makes perfect

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. 1/5 and 60 Let's substitute them into the equation and simplify the right-hand side to find the mean x.

x=sqrt(1/5* 60)

▼

Evaluate

MoveRightFacToNumOne

1/b* a = a/b

x = sqrt(60/5)

Calculate quotient

x = sqrt(12)

Using a calculator, we can see that the obtained number is approximately 3.5.

Subchapter links

Exercises p.623-627