Exercise 20 Page 182

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(- 100)

SplitIntoFactors

Split into factors

sqrt(- 1* 100)

RootProd

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

sqrt(- 1)* sqrt(100)

SqrtNegOneToI

sqrt(- 1)= i

i* sqrt(100)

CalcRoot

Calculate root

i* 10

CommutativePropMult

Commutative Property of Multiplication

10i