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McGraw Hill Integrated II, 2012 View details

3. The Quadratic Formula and the Discriminant

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Exercise 54 Page 197

The imaginary number i is a complex number whose square is - 1.

4i

Practice makes perfect

We want to simplify the given numeric expression using the imaginary number i. To do so, we will first recall that the imaginary unit i is the complex number whose square is - 1. i^2=- 1 and i=sqrt(- 1) We can simplify the expression using this definition.

sqrt(- 16)

SplitIntoFactors

Split into factors

sqrt(- 1* 16)

RootProd

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

sqrt(- 1)* sqrt(16)

SqrtNegOneToI

sqrt(- 1)= i

i* sqrt(16)

CalcRoot

Calculate root