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Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
Chapter Review
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Exercise 26 Page 654

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

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Practice makes perfect
We want to simplify a radical expression. To do so we will assume that s>0, otherwise the given expression would not be defined. sqrt(8s)/sqrt(18s^3)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(8s)/sqrt(18s^3)
DivSqrt

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

sqrt(8 s/18 s^3)
SplitIntoFactors

Split into factors

sqrt(4 * 2 s/9* 2 s * s^2)
ReduceFrac

a/b=.a /2s./.b /2s.

sqrt(4/9* s^2)
SqrtQuot

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

sqrt(4)/sqrt(9* s^2)
SqrtProd

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

sqrt(4)/sqrt(9)*sqrt(s^2)
CalcRoot

Calculate root

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arrow_right Exercises p.653-656
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Exercises 25 (Page 654)
Exercises 26 (Page 654)
Exercises 27 (Page 654)
Exercises 28 (Page 654)
Exercises 29 (Page 654)
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Exercises 31 (Page 655)
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Exercises 54 (Page 656)
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