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McGraw Hill Integrated II, 2012

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McGraw Hill Integrated II, 2012 View details

Study Guide and Review

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Exercise 15 Page 217

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

2isqrt(2)

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(- 8)

SplitIntoFactors

Split into factors

sqrt(- 1* 8)

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

sqrt(- 1)* sqrt(8)

sqrt(- 1)= i

i* sqrt(8)

SplitIntoFactors

Split into factors

i* sqrt(4* 2)

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

i* sqrt(4) * sqrt(2)

Calculate root

i* 2 sqrt(2)

CommutativePropMult

Commutative Property of Multiplication

2isqrt(2)

Subchapter links

1 Solving Quadratic Equations by Factoring p.217

2 Complex Numbers p.217

3 The Quadratic Formula and the Discriminant p.218

4 Transformations of Quadratic Graphs p.218

5 Quadratic Inequalities p.219

Practice Test p.219