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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

3. Operations With Radical Expressions

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Exercise 19 Page 629

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

19sqrt(5)/2

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.

- 1/2sqrt(5) + 2sqrt(125)

SplitIntoFactors

Split into factors

- 1/2sqrt(5) + 2sqrt(25* 5)

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

- 1/2sqrt(5) + 2sqrt(25)sqrt(5)

Calculate root

- 1/2sqrt(5) + 2(5)sqrt(5)

Multiply

- 1/2sqrt(5) + 10 sqrt(5)

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

- 1/2sqrt(5) + 10 sqrt(5)

Factor out sqrt(5)

(- 1/2+10)sqrt(5)

a = 2* a/2

(- 1/2+20/2)sqrt(5)

Add fractions

(19/2)sqrt(5)

MoveRightFacToNum

a/c* b = a* b/c

19sqrt(5)/2

Subchapter links

Lesson Check p.629

Practice and Problem-Solving Exercises p.629-631

Standardized Test Prep p.631

Mixed Review p.631