Simplify − 324 \sqrt{-324} − 3 2 4 <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">

18 \sqrt{18} 1 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">

Simplify 2 − 147 2\sqrt{-147} 2 − 1 4 7 <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">

14 i 3 14i\sqrt{3} 1 4 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">

7 3 7\sqrt{3} 7 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">

− 7 3 -7\sqrt{3} − 7 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">

− 14 3 -14\sqrt{3} − 1 4 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">

Simplify 8 − 12 i \frac{8}{-12i} − 1 2 i 8

− 8 i 12 \frac{-8i}{12} 1 2 − 8 i

2 − 3 i \frac{2}{-3i} − 3 i 2

− 2 i 3 \frac{-2i}{3} 3 − 2 i

Unit 3 Study Guide Quadratic Equations and Complex Numbers

Authored by Amanda Appel

Mathematics

10th - 12th Grade

CCSS covered

Used 7+ times

Unit 3 Study Guide Quadratic Equations and Complex Numbers

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify $\sqrt{-324}$

18i

-18

-18i

$\sqrt{18}$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify $2\sqrt{-147}$

$7\sqrt{3}$

$-7\sqrt{3}$

$-14\sqrt{3}$

$14i\sqrt{3}$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify $\left(-4+7i\right)+\left(-3-8i\right)$

$-7$

$-7-i$

$-8$

$i-7$

Tags

CCSS.HSN.CN.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify $\left(21+9i\right)-\left(13-2i\right)$

$34+7i$

$8+7i$

$8+11i$

$11i+8$

Tags

CCSS.HSN.CN.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify $(1+5i)(4-2i)$

$4+22i-10i^2$

$14+18i$

$14+22i$

$-4$

Tags

CCSS.HSN.CN.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify $\left(7-i\right)^2$

$48-14i$

$49+i^2$

Tags

CCSS.HSN.CN.C.8

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify $\frac{8}{-12i}$

$\frac{-8i}{12}$

$\frac{2}{-3i}$

$\frac{-2i}{3}$

$\frac{2i}{3}$

Tags

CCSS.HSN.CN.A.3

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Simplify $\frac{3-6i}{4-3i}$

$\frac{12-15i-18i^2}{16-9i^2}$

$\frac{6-3i}{5}$

$\frac{30+15i}{25}$

$\frac{9}{5}$

Tags

CCSS.HSN.CN.A.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify $i^{59}$

-1

$-i$

$i$

Tags

CCSS.HSN.CN.A.2

10.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify $\left(9+5i\right)\left(9-5i\right)$

$81-25i^2$

$81+25i$

106

Tags

CCSS.HSN.CN.C.8

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Unit 3 Study Guide Quadratic Equations and Complex Numbers

Simplify −324\sqrt{-324}−324​

Simplify 2−1472\sqrt{-147}2−147​

Simplify (−4+7i)+(−3−8i)\left(-4+7i\right)+\left(-3-8i\right)(−4+7i)+(−3−8i)

Simplify (21+9i)−(13−2i)\left(21+9i\right)-\left(13-2i\right)(21+9i)−(13−2i)

Simplify (1+5i)(4−2i)(1+5i)(4-2i)(1+5i)(4−2i)

Simplify (7−i)2\left(7-i\right)^2(7−i)2

Simplify 8−12i\frac{8}{-12i}−12i8​

Simplify 3−6i4−3i\frac{3-6i}{4-3i}4−3i3−6i​

Simplify i59i^{59}i59

Simplify (9+5i)(9−5i)\left(9+5i\right)\left(9-5i\right)(9+5i)(9−5i)

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Popular Resources on Wayground

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Simplify $\sqrt{-324}$

Simplify $2\sqrt{-147}$

Simplify $\left(-4+7i\right)+\left(-3-8i\right)$

Simplify $\left(21+9i\right)-\left(13-2i\right)$

Simplify $(1+5i)(4-2i)$

Simplify $\left(7-i\right)^2$

Simplify $\frac{8}{-12i}$

Simplify $\frac{3-6i}{4-3i}$

Simplify $i^{59}$

Simplify $\left(9+5i\right)\left(9-5i\right)$