Rationalize the denominator and simplify completely.

− 3 − i 4 \frac{-3-i}{4} 4 − 3 − i

− 3 + i 4 \frac{-3+i}{4} 4 − 3 + i

3 − i 4 \frac{3-i}{4} 4 3 − i

Rationalize the denominator and simplify completely.

1 − i 2 \frac{1-i}{2} 2 1 − i

7 − 13 i 26 \frac{7-13i}{26} 2 6 7 − 1 3 i

13 − 13 i 26 − 10 i \frac{13-13i}{26-10i} 2 6 − 1 0 i 1 3 − 1 3 i

Imaginary & Complex Numbers

Quiz

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

HSN.CN.A.2, HSN.CN.A.1, HSA.APR.A.1

+4

Standards-aligned

Caity Armstrong

Used 408+ times

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

i⁷

i

-i

1

-1

Tags

CCSS.HSN.CN.A.1

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

i¹³

-1

1

i

-i

Tags

CCSS.HSN.CN.A.1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

i¹²⁹

-i

i

1

-1

Tags

CCSS.HSF-IF.C.8B

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

(2i)(3i)

5i

-5

6i

-6

Tags

CCSS.HSN.CN.C.8

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

(-3i)(i)(5i)

15i

-15i

-15i³

15i³

Tags

CCSS.HSN.CN.A.2

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify √-4

2i

-2i

2

4i

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify √-28

-√28

-2i√7

2i√7

28i

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

CCSS.HSN.RN.A.2

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i⁷

i¹³