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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 20 Page 629

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

22sqrt(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.

5sqrt(8) + 2sqrt(72)

SplitIntoFactors

Split into factors

5sqrt(4* 2) + 2sqrt(36* 2)

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

5sqrt(4)sqrt(2) + 2sqrt(36)sqrt(2)

Calculate root

5(2)sqrt(2) + 2(6)sqrt(2)

Multiply

10sqrt(2) + 12sqrt(2)

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

10sqrt(2) + 12sqrt(2)

Factor out sqrt(2)

(10+12)sqrt(2)

Add terms

22sqrt(2)

Subchapter links

Lesson Check p.629

Practice and Problem-Solving Exercises p.629-631

Standardized Test Prep p.631

Mixed Review p.631