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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 22 Page 265

Remember the Product Property of Square Roots.

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Practice makes perfect

We can simplify this expression by multiplying the expressions inside the radicals and multiplying the constants, separately. asqrt(b)* csqrt(d)=a* csqrt(b* d) ⇓ 2sqrt(3)* 3sqrt(12)= 2*3sqrt(3*12) Then we can simplify the expression by rewriting the numbers under the square root as the product of at least one perfect square factor.

2*3sqrt(3*12)

SplitIntoFactors

Split into factors

2*3sqrt(3* 3* 4)

ProdToPowTwoFac

a* a=a^2

2*3sqrt(3^2* 4)

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

2*3 sqrt(3^2)* sqrt(4)

Write as a power

2*3 sqrt(3^2)* sqrt(2^2)

SqrtPowToNumber

sqrt(a^2)=a

2* 3* 3* 2

Multiply

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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