− 9 \sqrt{-9} − 9 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> can be broken into which of the following:

9 ⋅ − 1 \sqrt{9}\cdot\sqrt{-1} 9 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> ⋅ − 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

− 9 ⋅ − 1 \sqrt{-9}\cdot\sqrt{-1} − 9 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> ⋅ − 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

− 3 ⋅ − 3 \sqrt{-3}\cdot\sqrt{-3} − 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> ⋅ − 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

MII 5.2.4 Imaginary and Complex Numbers

Authored by Natalie Gillihan

Mathematics

10th Grade

CCSS covered

Used 27+ times

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14 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\sqrt{-1}$ is an imaginary number noted as i. If this is the case, what is $\sqrt{-1}\cdot\sqrt{-1}$

-1

none of these.

Tags

CCSS.HSN.CN.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does i²= ?

-1

√-1

√1

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\sqrt{-4}$ can be broken into: $\sqrt{4}\cdot\sqrt{-1}$

True

False

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\sqrt{-9}$ can be broken into which of the following:

$\sqrt{9}\cdot\sqrt{-1}$

$\sqrt{-9}\cdot\sqrt{-1}$

$\sqrt{-3}\cdot\sqrt{-3}$

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

CCSS.HSN.RN.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\sqrt{-16}$
$=\sqrt{16}\cdot\sqrt{-1}$
$=4\sqrt{-1}$

True.

False.

It is impossible to tell.

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\sqrt{-25}$
$=\sqrt{25}\cdot\sqrt{-1}$
$=5\sqrt{-1}$
$=5i$

True.

False.

It is impossible to tell.

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\sqrt{-36}$
$=\sqrt{36}\cdot\sqrt{-1}$
$=6\sqrt{-1}$
$=6i$

True.

False.

It is impossible to tell.

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

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MII 5.2.4 Imaginary and Complex Numbers

$\sqrt{-1}$ is an imaginary number noted as i. If this is the case, what is $\sqrt{-1}\cdot\sqrt{-1}$

What does i²= ?

$\sqrt{-4}$ can be broken into: $\sqrt{4}\cdot\sqrt{-1}$

$\sqrt{-9}$ can be broken into which of the following:

$\sqrt{-16}$
$=\sqrt{16}\cdot\sqrt{-1}$
$=4\sqrt{-1}$

$\sqrt{-25}$
$=\sqrt{25}\cdot\sqrt{-1}$
$=5\sqrt{-1}$
$=5i$

$\sqrt{-36}$
$=\sqrt{36}\cdot\sqrt{-1}$
$=6\sqrt{-1}$
$=6i$

Simplify: √-49

Simplify: √-100

Simplify: √-25

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MII 5.2.4 Imaginary and Complex Numbers

−1\sqrt{-1}−1​ is an imaginary number noted as i. If this is the case, what is −1⋅−1\sqrt{-1}\cdot\sqrt{-1}−1​⋅−1​

What does i2 = ?

−4\sqrt{-4}−4​ can be broken into: 4⋅−1\sqrt{4}\cdot\sqrt{-1}4​⋅−1​

−9\sqrt{-9}−9​ can be broken into which of the following:

−16\sqrt{-16}−16​ =16⋅−1=\sqrt{16}\cdot\sqrt{-1}=16​⋅−1​ =4−1=4\sqrt{-1}=4−1​

−25\sqrt{-25}−25​ =25⋅−1=\sqrt{25}\cdot\sqrt{-1}=25​⋅−1​ =5−1=5\sqrt{-1}=5−1​ =5i=5i=5i

−36\sqrt{-36}−36​ =36⋅−1=\sqrt{36}\cdot\sqrt{-1}=36​⋅−1​ =6−1=6\sqrt{-1}=6−1​ =6i=6i=6i

Simplify: √-49

Simplify: √-100

Simplify: √-25

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$\sqrt{-1}$ is an imaginary number noted as i. If this is the case, what is $\sqrt{-1}\cdot\sqrt{-1}$

What does i²= ?

$\sqrt{-4}$ can be broken into: $\sqrt{4}\cdot\sqrt{-1}$

$\sqrt{-9}$ can be broken into which of the following:

$\sqrt{-16}$
$=\sqrt{16}\cdot\sqrt{-1}$
$=4\sqrt{-1}$

$\sqrt{-25}$
$=\sqrt{25}\cdot\sqrt{-1}$
$=5\sqrt{-1}$
$=5i$

$\sqrt{-36}$
$=\sqrt{36}\cdot\sqrt{-1}$
$=6\sqrt{-1}$
$=6i$