### Home > INT2 > Chapter 7 > Lesson 7.2.3 > Problem7-119

7-119.

Verify that $\sqrt { m } \cdot \sqrt { n } = \sqrt { m n }$ by filling in the blanks below. Make sure there is a statement and reason for each line.

Statements

Reasons

$\sqrt { m } \cdot \sqrt { n }$

Given

Rewrite with fractional exponents

$= (mn)^{1/2}$

$\sqrt{m}=m^{1/2}$