Complex Number Operations

What does i² = ?

• -1
• √-1
• 1
• -√1

Tags

CCSS.HSN.CN.A.1

Find the sum:

(5-2i) + (-7+8i)

• -2+6i

• 12+6i

• -35-16i²

• -35 -16i

Find the product

(3 -2i)(7+6i)

• 21 - 12i

• 9 + 4i

• 33 + 4i

• 21 + 16i

-i(4-9i)

• -13i

• 13i

• 9 - 4i

• -9 - 4i

Find the difference:

(10-6i) - (2+3i)

• 12 + 3i

• 8 - 3i

• 8 - 9i

• -9i + 8

(7 - 5i)(7 + 5i)

• 74
• 24
• 49 - 25i
• 49 + 25i

Tags

CCSS.HSN.CN.C.8

The expression (2 + 3i)² is equal to

• -5
• -5 + 12i
• 13
• 13 + 12i

Tags

CCSS.HSN.CN.C.8

Simplify   i²³

• i
• -1
• 1
• -i

Tags

CCSS.HSN.CN.A.2

Completely simplify the quotient:

• 7/10 + 11/10 i

• 13/10 +1/10 i

• 5/4 - 3/2i

• 7/10 - 11/10 i

Simplify

• -10/17 + 6i/17

• 1/61 + 50i/61

• -23/25 + 36i/25

• -21/34 + 33i/34