Chapter 12.5, Problem 6MRE

To determine

To Evaluate: The given expression $\sqrt{x^2+4yz}$ if $x=1,y=8,\text{and }z=-9$

Answer to Problem 6MRE

The required solution is $\pm i\sqrt{287}$ .

Explanation of Solution

Given information:

  $\sqrt{x^2+4yz}$

  $x=1,y=8,\text{and }z=-9$

Calculation:

  $\sqrt{x^2+4yz}$

Substituting the known value

  $\begin{array}{l}=\sqrt{1^2+4\cdot 8\cdot \left(-9\right)}\\ =\sqrt{1-288}\\ =\sqrt{-287}\\ =\pm i\sqrt{287}\end{array}$