Chapter 11.7, Problem 14WE

To determine

To evaluate:

The value of the given number

Answer to Problem 14WE

The value of given operation is $x=1.41$

Explanation of Solution

Given:

The order of operation

  $\sqrt{\frac{4}{9}}\cdot \sqrt{\frac{18}{4}}$

Concept used:

Product means the answer to a multiplication problem

Sum means the total amount resulting from the addition of two or more numbers amounts or items

Quotientmeansa result obtained by dividing one quantity by another

Calculation:

The order of operation

  $\begin{array}{l}=\sqrt{\frac{4}{9}}\cdot \sqrt{\frac{18}{4}}\\ =\frac{\sqrt{4}}{\sqrt{9}}\times \frac{3\sqrt{2}}{\sqrt{4}}\\ =\frac{\sqrt{4}}{3}\times \frac{3\sqrt{2}}{\sqrt{4}}\\ =\sqrt{2}\\ =1.41\end{array}$

Therefore,

The value of given operation is $1.41$