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 66 Page 624

The Multiplication Property of Square Roots tells us that sqrt(ab)=sqrt(a) * sqrt(b), for a≥ 0 and b≥ 0.

2absqrt(5b)

Practice makes perfect

We want to simplify a radical expression. To do so we will assume that b≥0, otherwise the given expression would not be defined. sqrt(20a^2b^3)Let's recall the Multiplication Property of Square Roots. sqrt(ab)=sqrt(a) * sqrt(b), for a≥ 0,b≥ 0 Let's use this property for our expression.

sqrt(20a^2b^3)

SplitIntoFactors

Split into factors

sqrt(4* 5* a^2* b^2* b)

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

sqrt(4)sqrt(5)sqrt(a^2)sqrt(b^2)sqrt(b)

▼

Simplify Factors

Calculate root

2sqrt(5)sqrt(a^2)sqrt(b^2)sqrt(b)

SqrtPowToNumber

sqrt(a^2)=a

2sqrt(5)absqrt(b)

CommutativePropMult

Commutative Property of Multiplication

2absqrt(5)sqrt(b)

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

2absqrt(5b)

Subchapter links

Lesson Check p.623

Practice and Problem-Solving Exercises p.623-625

Standardized Test Prep p.625

Mixed Review p.625