Find the Following Product and Express Your Answer in Simplest $( 3 \sqrt { 7 } - 4 \sqrt { 21 } ) ( 5 \sqrt { 27 } + \sqrt { 21 } )$

question 37

Multiple Choice

Find the following product and express your answer in simplest radical form. $( 3 \sqrt { 7 } - 4 \sqrt { 21 } ) ( 5 \sqrt { 27 } + \sqrt { 21 } )$

• A) \(- 45 \sqrt { 21 } - 21 \sqrt { 3 } + 180 \sqrt { 7 } + 84\)
• B) \(45 \sqrt { 21 } - 21 \sqrt { 7 } - 180 \sqrt { 3 } + 84\)
• C) \(15 \sqrt { 3 } + 3 \sqrt { 7 } - 84\)
• D) \(45 \sqrt { 21 } + 21 \sqrt { 3 } - 180 \sqrt { 7 } - 84 \sqrt { 27 }\)
• E) \(45 \sqrt { 21 } + 21 \sqrt { 3 } - 180 \sqrt { 7 } - 84\)

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Definitions:

Inflation

The speed at which prices for products and services increase, leading to a decline in buying power.

Supply of Money

The total amount of money available in an economy at any given time, including cash, bank deposits, and liquid assets.

Increase in V

In economic contexts, often refers to an increase in the velocity of money, which is the rate at which money is exchanged in an economy.

Unemployment

The situation in which individuals who are capable of working and willing to work cannot find employment.