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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 15 Page 629

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

- 7sqrt(5)

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.

3sqrt(45) - 8sqrt(20)

SplitIntoFactors

Split into factors

3sqrt(9* 5) - 8sqrt(4* 5)

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

3sqrt(9)sqrt(5) - 8sqrt(4)sqrt(5)

Calculate root

3(3)sqrt(5) - 8(2)sqrt(5)

Multiply

9sqrt(5) - 16sqrt(5)

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

9sqrt(5) - 16sqrt(5)

Factor out sqrt(5)

(9-16)sqrt(5)

Subtract term

- 7sqrt(5)

Subchapter links

Lesson Check p.629

Practice and Problem-Solving Exercises p.629-631

Standardized Test Prep p.631

Mixed Review p.631