Write the Expression In $a + b i$ Form $\frac { \sqrt { 6 } + \sqrt { 5 } i } { \sqrt { 6 } - \sqrt { 5 } i }$

question 22

Multiple Choice

Write the expression in $a + b i$ form. $\frac { \sqrt { 6 } + \sqrt { 5 } i } { \sqrt { 6 } - \sqrt { 5 } i }$

• A) \(\frac { 30 } { 11 } + \frac { 2 } { 11 } i\)
• B) \(\frac { 1 } { 11 } - 2 \frac { \sqrt { 30 } } { 11 } i\)
• C) \(\frac { 11 } { 30 } + \frac { \sqrt { 30 } } { 11 } i\)
• D) \(\frac { 1 } { 11 } + 2 \frac { \sqrt { 30 } } { 11 } i\)
• E) \(\frac { 11 } { 30 } - \frac { \sqrt { 30 } } { 11 } i\)

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Definitions:

Total Surplus

The sum of consumer surplus and producer surplus in a market, representing the total net benefits to all participants in the market transaction.

Demand Curve

A graphical representation showing the relationship between the price of a good or service and the quantity demanded by consumers at those prices.

Supply Curve

A graphical representation showing the relationship between the quantity of a good that producers are willing to sell and the price of the good.

Consumer Surplus

The distinction between the total consumers are prepared to spend on a good or service and the actual amount they pay.