Chapter 10 - Radical Expressions and Equations - 10-2 Simplifying Radicals - Practice and Problem-Solving Exercises - Page 624: 64

$-\sqrt 3$

Rationalize the denominator by multiplying $\sqrt 6$ to the numerator and denominator. $\frac{-3\sqrt 2}{\sqrt 6}\times\frac{\sqrt 6}{\sqrt 6}$ Simplify $\frac{-3\sqrt 12}{6}$ $\frac{-3\sqrt 4\times\sqrt 3}{6}$ $\frac{-3\times2\sqrt 3}{6}$ $\frac{-6\sqrt 3}{6}$ $-\sqrt 3$ Answer: $-\sqrt 3$