Chapter 11.10, Problem 5ST

To determine

To find: The simplified form of the given equation.

Answer to Problem 5ST

The simplified form of the given equation is $3-6\sqrt{6}$ .

Explanation of Solution

Given:

The given equation is ${\left(3-\sqrt{6}\right)}^2$ .

Calculation:

Consider the given equation is,

  ${\left(3-\sqrt{6}\right)}^2$

Then, simplify as,

  $\begin{array}{c}{\left(3-\sqrt{6}\right)}^2=3^2-2\left(3\right)\left(\sqrt{6}\right)+{\left(\sqrt{6}\right)}^2\\ =9-6\sqrt{6}+6\\ =3-6\sqrt{6}\end{array}$