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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 9 Page 629

Use the Distributive Property to combine the radical expressions.

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) Since in our exercise all of the radicands are alike, we will use the Distributive Property to perform the addition.

sqrt(5) + 6sqrt(5)

Identity Property of Multiplication

1sqrt(5) + 6sqrt(5)

Factor out sqrt(5)

(1+6)sqrt(5)

Add terms

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