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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

4. Solving Radical Equations

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Exercise 57 Page 638

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

5sqrt(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.

sqrt(8)+3sqrt(2)

SplitIntoFactors

Split into factors

sqrt(4 * 2)+3sqrt(2)

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

sqrt(4) * sqrt(2)+3sqrt(2)

Calculate root

2sqrt(2)+3sqrt(2)

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

2sqrt(2) + 3sqrt(2)

Factor out sqrt(2)

(2+3)sqrt(2)

Add terms

5sqrt(2)

Subchapter links

Lesson Check p.636

Practice and Problem-Solving Exercises p.636-638

Standardized Test Prep p.638

Mixed Review p.638