What is the complex conjugate of 4 − 3 i 4-3i 4 − 3 i ?

− 4 i − 3 -4i-3 − 4 i − 3

Simplify: − 108 \sqrt{-108} − 1 0 8 <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">

6 i 3 6i\sqrt{3} 6 i 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 i 6 3i\sqrt{6} 3 i 6 <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 i 20 3i\sqrt{20} 3 i 2 0 <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">

20 i 3 20i\sqrt{3} 2 0 i 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">

Complex Numbers

Quiz

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

HSN.CN.A.2, HSN.CN.A.1, HSN.CN.A.3

+3

Standards-aligned

Monika Davis

Used 44+ times

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

$\pm10i$

$-10$

$10$

$-10i$

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

CCSS.HSN.CN.B.4

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

$5i$

$-5i$

$5+i$

$-5$

Tags

CCSS.HSN.CN.A.1

3.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

What is the complex conjugate of $4-3i$ ?

$-4i-3$

$-4-3i$

$-4+3i$

$4+3i$

Tags

CCSS.HSN.CN.A.3

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify: $i^{73}$

$i$

$-1$

$-i$

$1$

Tags

CCSS.HSN.CN.A.2

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify: $\sqrt{-108}$

$3i\sqrt{6}$

$3i\sqrt{20}$

$6i\sqrt{3}$

$20i\sqrt{3}$

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

CCSS.HSN.RN.A.2

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

$\left(5-2i\right)+\left(-7+8i\right)$

-2+6i

12+6i

-35-16i²

-35 -16i

Tags

CCSS.HSN.CN.A.2

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$3i\left(-2+4i\right)$

-6+12i

-12-6i

-2+7i

12+6i

Tags

CCSS.HSN.CN.A.2

8.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$\left(4-3i\right)\left(-7-2i\right)$

-23 + 13i

-23 - 29i

-34 + 13i

-34 - 29i

Tags

CCSS.HSN.CN.A.2

9.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$\left(-6-2i\right)^2$

40

36-4i

36+24i

32+24i

Tags

CCSS.HSN.CN.C.8

10.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

$\left(10+15i\right)-\left(48-30i\right)$

930 + 420i

58 - 15i

-38 - 15i

-38 + 45i

Tags

CCSS.HSN.CN.A.2

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Complex Numbers

20 questions

What is the complex conjugate of 4−3i4-3i4−3i ?

Simplify: i73i^{73}i73

Simplify: −108\sqrt{-108}−108​

(5−2i)+(−7+8i)\left(5-2i\right)+\left(-7+8i\right)(5−2i)+(−7+8i)

3i(−2+4i)3i\left(-2+4i\right)3i(−2+4i)

(4−3i)(−7−2i)\left(4-3i\right)\left(-7-2i\right)(4−3i)(−7−2i)

(−6−2i)2\left(-6-2i\right)^2(−6−2i)2

(10+15i)−(48−30i)\left(10+15i\right)-\left(48-30i\right)(10+15i)−(48−30i)

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Discover more resources for Mathematics

What is the complex conjugate of $4-3i$ ?

Simplify: $i^{73}$

Simplify: $\sqrt{-108}$

$\left(5-2i\right)+\left(-7+8i\right)$

$3i\left(-2+4i\right)$

$\left(4-3i\right)\left(-7-2i\right)$

$\left(-6-2i\right)^2$

$\left(10+15i\right)-\left(48-30i\right)$