Find modulus of z: z = 1 + 3 i z=1+3i z = 1 + 3 i

10 \sqrt{10} 1 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">

7 \sqrt{7} 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">

E x p r e s s i 1 + i i n a + i b f o r m Express\ \frac{i}{1+i}\ in\ \ a+ib\ \ form\ E x p r e s s 1 + i i i n a + i b f o r m

1 2 + 1 2 i \frac{1}{2}\ +\ \frac{1}{2}i 2 1 + 2 1 i

1 2 + i \frac{1}{2}\ +\ i 2 1 + i

1 2 − i 2 \frac{1}{2}\ -\ \frac{i}{2} 2 1 − 2 i

Complex Variables

Authored by Fatema Zohora

Mathematics

University - Professional Development

CCSS covered

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

i⁷

-i

-1

Tags

CCSS.HSN.CN.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify:
(3 + 2i) + (4i + 6)

9 + 6i

7i + 8

9 + 6i²

9 - 6i

Tags

CCSS.HSN.CN.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify:
(4 + 7i) - (3 + 2i)

1 + 5i

7 + 9i

1 + 9i

-1 + 5i

Tags

CCSS.HSN.CN.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify:
(2 - 3i)(5 + 4i)

22 - 7i

22 + 7i

22 - 7i²

22 + 7i²

Tags

CCSS.HSN.CN.C.8

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

What is the complex conjugate of 4-3i?

A. 1/(4-3i)

B. 1/(4+3i)

C. -4 + 3i

D. 4 + 3i

Tags

CCSS.HSN.CN.A.3

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

-10

10i

-10i

Tags

CCSS.HSN.CN.A.2

CCSS.HSN.CN.A.1

CCSS.HSN.CN.B.4

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What does i² = ?

-1

√-1

-√1

Tags

CCSS.HSN.CN.A.1

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Complex Variables