Rationalize the Denominator $D = \sqrt { L ^ { 2 } + W ^ { 2 } }$

question 446

Multiple Choice

Rationalize the denominator. Assume that all variables represent nonnegative numbers and that the denominator is not
zero.
-The length of the diagonal of a rectangle is given by $D = \sqrt { L ^ { 2 } + W ^ { 2 } }$ where L and W are the length and width of the rectangle. What is the length of the diagonal, D, of a rectangle that is 84 inches long and 60 inches wide?
Round your answer to the nearest tenth of an inch, if necessary.

• A) 103.2 in.
• B) 71 in.
• C) 58.8 in.
• D) 12 in.

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Definitions:

Molecular Formula

A notation that shows the number and type of atoms in a molecule, without indicating how they are connected.

Elemental Analysis

A method of measuring the relative amounts of each element within a chemical sample.

Empirical Formula

The simplest positive integer ratio of atoms present in a compound, not providing structural information but indicating the proportion of elements.

Molecular Formula

A molecular formula represents the number and type of atoms in a molecule, indicating the composition of the molecule without showing its structure.