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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 1 Page 623

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

10

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. 5 and 20 Let's substitute them into the equation and simplify the right-hand side to find the mean x.

x=sqrt(5* 20)

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Evaluate

Multiply

x = sqrt(100)

Calculate root

x= 10

Subchapter links

Exercises p.623-627