Chapter 8.1, Problem 24WE

To determine

To show that $\sqrt{yz}$ varies directly as $x$ .

Explanation of Solution

Given information:

The given statement is:

“The numbers $x,y\text{ and }z$ are positive numbers such that $y$ varies directly as $x$ , and $z$ varies directly as $x$ .”

Proof:

Since, $y\text{ and }z$ varies directly with $x$ so the square root of $yz$ will also vary directly with $x$ .

Hence, $\sqrt{yz}$ varies directly as $x$ .