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

3. Operations With Radical Expressions

Continue to next subchapter

Exercise 16 Page 629

To simplify the given expression, all radicals need to have like radicands.

- 3sqrt(7)

Practice makes perfect

Radicals can only be added or subtracted when they have like radicands. a sqrt(x) + b sqrt(x) = (a+b) sqrt(x) asqrt(x)-bsqrt(x)=(a-b)sqrt(x)Let's use perfect squares to simplify our radicals to see if we can create like terms.

sqrt(28) -5 sqrt(7)

SplitIntoFactors

Split into factors

sqrt(4* 7) -5 sqrt(7)

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

sqrt(4)sqrt(7) -5 sqrt(7)

Calculate root

2sqrt(7) -5sqrt(7)

Now we will use the Distributive Property to perform the subtraction.

2sqrt(7) -5sqrt(7)

Factor out sqrt(7)

(2-5)sqrt(7)

Subtract term

- 3sqrt(7)

Subchapter links

Lesson Check p.629

Practice and Problem-Solving Exercises p.629-631

Standardized Test Prep p.631

Mixed Review p.631