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McGraw Hill Integrated II, 2012 View details

1. Solving Quadratic Equations by Factoring

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Exercise 101 Page 177

If sqrt(a) and sqrt(b) are real numbers, then sqrt(a)*sqrt(b)=sqrt(ab).

5sqrt(3)

Practice makes perfect

The rule regarding multiplying radical expressions states: "If sqrt(a) and sqrt(b) are real numbers, then sqrt(a)*sqrt(b)=sqrt(a b)." sqrt(5)* sqrt(15)=sqrt(5* 15) = sqrt(75) To simplify sqrt(75), we need to rewrite 75 as the product of numbers such that at least one of them is a perfect square.

sqrt(75)

Rewrite

Rewrite 75 as 25* 3

sqrt(25* 3)

RootProd

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

sqrt(25)* sqrt(3)

CalcRoot

Calculate root

5sqrt(3)