### Home > INT3 > Chapter 2 > Lesson 2.2.2 > Problem2-61

2-61.

Use the definition of $i$ to rewrite each of the following expressions. Homework Help ✎

1. $\sqrt { - 25 }$

$\sqrt{-25}=\sqrt{25(-1)}=\sqrt{25i^{2}}=5i$

1. $\sqrt { - 32 }$

Use the same method as (a).

1. $(3+2i)(5-3i)$

Multiply as you would any two binomials.

$15+i-6i^2=21+i$

1. $(3+2i)+(5-3i)$

Combine like terms.