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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

Study Guide and Review

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Exercise 24 Page 265

Use the Distributive Property

3+2sqrt(2)

Practice makes perfect

We can square the expression by writing it as the product of two binomials and then using the Distributive Property.

(1+sqrt(2))^2

PowToProdTwoFac

a^2=a* a

(1+sqrt(2))(1+sqrt(2))

Distribute (1+sqrt(2))

1(1+sqrt(2))+sqrt(2)(1+sqrt(2))

Identity Property of Multiplication

1+sqrt(2)+sqrt(2)(1+sqrt(2))

Distribute sqrt(2)

1+sqrt(2)+sqrt(2)*1+sqrt(2)* sqrt(2)

Identity Property of Multiplication

1+sqrt(2)+sqrt(2)+sqrt(2)* sqrt(2)

sqrt(a)* sqrt(a)= a

1+sqrt(2)+sqrt(2)+2

CommutativePropAdd

Commutative Property of Addition

1+2+sqrt(2)+sqrt(2)

Add terms

3+2sqrt(2)

Subchapter links

1 Graphing Exponential Functions p.265

2 Solving Exponential Equations and Inequalities p.265

3 Simplifying Radical Expressions p.265

4 Operations with Radical Expressions p.266

5 Radical Equations p.266