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Pearson Algebra 1 Common Core, 2011 View details

2. Simplifying Radicals

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Exercise 39 Page 623

Use the Multiplication Property of Square Roots and the Division Property of Square Roots.

sqrt(3x)8

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We want to simplify a radical expression. To do so we will assume that x>0, otherwise the given expression would not be defined. sqrt(3x^3/64x^2)Let's recall the Multiplication Property of Square Roots and the Division Property of Square Roots. sqrt(ab)=sqrt(a) * sqrt(b), for a≥ 0,b≥ 0 sqrt(a/b)=sqrt(a)/sqrt(b), for a≥ 0,b> 0 Let's use these properties for our expression.

sqrt(3x^3/64x^2)

SqrtQuot

sqrt(a/b)=sqrt(a)/sqrt(b)

sqrt(3x^3)/sqrt(64x^2)

SplitIntoFactors

Split into factors

sqrt(3x* x^2)/sqrt(64* x^2)

SqrtProd

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

sqrt(3x)* sqrt(x^2)/sqrt(64)* sqrt(x^2)

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Simplify factors