IM Alg2.3.10 Practice: A New Kind of Number

[size=150]Select [b]all[/b] the true statements.[/size]

[math]\sqrt{\text{-}1}=\text{-}1[/math]because [math]\text{-}1\cdot\text{-}1=\text{-}1[/math]. Because [math]\sqrt{\text{-}1}[/math] is imaginary, no one does math with it. There are no real numbers that satisfy the equation [math]x=\sqrt{\text{-}1}[/math] The equation [math]x^2=\text{-}1[/math] has real solutions. [math]\sqrt{\text{-}1}[/math] is an imaginary number.

Plot each number on the real number line, or explain why the number is not on the real number line.

[list][*][math]\sqrt{4}[/math][/*][*][math]\text{-}\sqrt{4}[/math][/*][*][math]\sqrt{\text{-}4}[/math][/*][*][math]\sqrt{8}[/math][/*][*][math]\text{-}\sqrt{8}[/math][/*][*][math]\sqrt{\text{-}8}[/math][/*][/list]

[size=150]Explain why [math](x-4)^2=\text{-}9[/math] has no real solutions.[/size]

[size=150]Which value is closest to [math]10^{\text{-}\frac{1}{2}}[/math]?[/size]

[math]-5[/math] [math]\frac{1}{5}[/math] [math]\frac{1}{3}[/math] [math]3[/math]

[size=150]Which is a solution to the equation [math]\sqrt{6-x}+5=10[/math]?[/size]

The equation has no solutions. 21 -19 19

[size=150]Select [b]all[/b] equations for which -64 is a solution.[/size]

[math]\sqrt{x}=\text{-}8[/math] [math]\text{-}\sqrt{x}=8[/math] [math]\sqrt{x}=8[/math] [math]\sqrt{\text{-}x}=8[/math] [math]\sqrt[3]{x}=4[/math] [math]\sqrt[3]{x}=\text{-}4[/math]

IM Alg2.3.10 Practice: A New Kind of Number

Plot each number on the real number line, or explain why the number is not on the real number line.

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