Chapter 11.7, Problem 21WE

To determine

To evaluate:

The value of the given number

Answer to Problem 21WE

The value of given operation is $0.62$

Explanation of Solution

Given:

The order of operation

  $\sqrt{\frac{10}{13}}\cdot \sqrt{\frac{1}{2}}$

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

  $\begin{array}{l}=\sqrt{\frac{10}{13}}\cdot \sqrt{\frac{1}{2}}\\ =\frac{\sqrt{10}}{\sqrt{13}}\times \frac{1}{\sqrt{2}}\\ =\frac{\sqrt{5}}{\sqrt{13}}\\ =0.62\end{array}$

Therefore,

The value of given operation is $0.62$