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.

Pearson Algebra 1 Common Core, 2011

PA

Pearson Algebra 1 Common Core, 2011 View details

2. Simplifying Radicals

Finish the assignment

Continue to next subchapter

Exercise 68 Page 624

Use the Multiplication Property of Square Roots and the Division Property of Square Roots.

sqrt(3m)/4m

Practice makes perfect

We want to simplify a radical expression. To do so we will assume that m>0, otherwise the given expression would not be defined. sqrt(3m/16m^2)Let's recall the Multiplication Property of Square Roots and the Division Property of Square Roots. sqrt(ab)&=sqrt(a) * sqrt(b), for a≥ 0,b≥ 0 sqrt(a/b)&=sqrt(a)/sqrt(b), for a≥ 0,b> 0 Let's use these properties for our expression.

sqrt(3m/16m^2)

sqrt(a/b)=sqrt(a)/sqrt(b)

sqrt(3m)/sqrt(16m^2)

SplitIntoFactors

Split into factors

sqrt(3m)/sqrt(16* m^2)

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

sqrt(3m)/sqrt(16)sqrt(m^2)

▼

Simplify factors

Calculate root

sqrt(3m)/4sqrt(m^2)

SqrtPowToNumber

sqrt(a^2)=a

sqrt(3m)/4m

Subchapter links

Lesson Check p.623

Practice and Problem-Solving Exercises p.623-625

Standardized Test Prep p.625

Mixed Review p.625