Mid-Chapter Quiz
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The Multiplication Property of Square Roots tells us that sqrt(ab)=sqrt(a) * sqrt(b), for a≥ 0 and b≥ 0.
- 1/3c
We want to simplify a radical expression.
To do so we will assume that c>0, otherwise the given expression would not be defined.
- sqrt(5c)sqrt(45c^3)
Split into factors
Commutative Property of Multiplication
sqrt(a* b)=sqrt(a)*sqrt(b)
Write as a product of fractions
a/a=1
Identity Property of Multiplication
sqrt(a* b)=sqrt(a)*sqrt(b)
Calculate root
sqrt(a^2)=a