Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
Mid-Chapter Quiz
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Exercise 14 Page 632

The Multiplication Property of Square Roots tells us that sqrt(a) * sqrt(b)=sqrt(ab), for a≥ 0 and b≥ 0.

2sqrt(3)x

Practice makes perfect
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(6x)* sqrt(2x)Let's recall the Multiplication Property of Square Roots. sqrt(a) * sqrt(b)=sqrt(ab), for a≥ 0,b≥ 0 We can use this property for our expression.
sqrt(6x)* sqrt(2x)
sqrt(6x* 2x)
sqrt(3* 2x* 2x)
sqrt(3 * (2x)^2)
sqrt(3)* sqrt((2x)^2)
sqrt(3)* 2x
2sqrt(3)x