3.08 Operations with complex numbers

Adaptive

Worksheet

Interactive practice questions

Express $-9+\sqrt{-64}$−9+√−64 in terms of $i$i.

Medium

< 1min

Express $-5-\sqrt{-64}$−5−√−64 in terms of $i$i.

Medium

2min

Express $8-\sqrt{-75}$8−√−75 in terms of $i$i.

Medium

3min

Express $\sqrt{-100}$√−100 in terms of $i$i.

Medium

2min

Know there is a complex number I such that i^2 = -1, and every complex number has the form a + bi with a and b real.

Use the relation i^2 = -1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.

Extend polynomial identities to the complex numbers.