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

question 233

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 box is given by $\mathrm { D } = \sqrt { \mathrm { L } ^ { 2 } + \mathrm { W } ^ { 2 } + \mathrm { H } ^ { 2 } }$ where $\mathrm { L } , \mathrm { W }$ , and $\mathrm { H }$ are the length, width, and height of the box. Find the length of the diagonal, D, of a box that is $2 \mathrm { ft }$ long, $6 \mathrm { ft }$ high, and $4 \mathrm { ft }$ wide. Give the exact value.

• A) \(48 \mathrm { ft }\)
• B) \(2 \sqrt { 14 } \mathrm { ft }\)
• C) \(12 \mathrm { ft }\)
• D) \(4 \sqrt { 3 } \mathrm { ft }\)

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Definitions:

T Account

A graphical representation used in double-entry bookkeeping to show the increases and decreases in an account, characterized by a T shape.

Account Title

An account title is the name given to an account in the general ledger that identifies where transactions are recorded, such as "Revenue," "Accounts Payable," or "Cash."

Credit Side

The credit side of an account is where increases in liabilities, equity, and revenue accounts are recorded, as well as decreases in asset and expense accounts.

Dividends Account

An account used in bookkeeping to track dividends declared by a company to be paid out to its shareholders.