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Simplify the following expression. √-8√-24

 

Customer Question

Simplify the following expression.

√-8√-24

Submitted: 330 days and 16 hours ago.
Category: Math Homework
Value: $21
Status: CLOSED

Accepted Answer

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Expert:  Emanuel replied330 days and 15 hours ago.

Consider that if a is a positive number, √(-a) = i√(a) where i is the imaginary unit:

√(-8)·√(-24) =
= i√(8)·i√(24) =
= i²·√(8)·√(24) =
= i²·√(8·24) =
= -1·√(64·3) =
= -8·√(3)

Answer: -8·√(3)

Let me know if you need further explanation

Emanuel

Expert TypeBachelor's Degree
Category: Math Homework
Pos. Feedback: 100.0 %
Accepts: 8
Answered: 6/20/2012

Experience: Aerospace engineer, expert in Maths and Physics

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