body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Dashboard

McGraw Hill Integrated II, 2012 View details

1. Geometric Mean

Finish the assignment

Continue to next subchapter

Exercise 3 Page 623

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

10sqrt(6) or 24.5

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. 40 and 15 Let's substitute them into the equation and simplify the right-hand side to find the mean x.

x=sqrt(40* 15)

▼

Evaluate

SplitIntoFactors

Split into factors

x= sqrt(4 * 5 * 2 * 5 * 3)

CommutativePropMult

Commutative Property of Multiplication

x= sqrt(4 * 5 * 5 * 2 * 3)

SqrtProd

sqrt(a* b)=sqrt(a)*sqrt(b)

x= sqrt(4) * sqrt(5 * 5) * sqrt(2 * 3)