Rationalize the Denominator $$\frac { 5 } { 8 - \sqrt { 2 } }$$

question 572

Multiple Choice

Rationalize the denominator. Assume that all variables represent nonnegative numbers and that the denominator is not
zero.
- $$\frac { 5 } { 8 - \sqrt { 2 } }$$

• A) \(\frac { 40 + 5 \sqrt { 2 } } { 62 }\)
• B) \(\frac { 40 + 5 \sqrt { 2 } } { 6 }\)
• C) \(\frac { 40 - 5 \sqrt { 2 } } { 62 }\)
• D) \(\frac { 5 } { 8 } - \frac { 5 } { \sqrt { 2 } }\)

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Definitions:

Amortized

The process of paying off debt through regular payments over a set period, where the payments cover both principal and interest.

First Three Years

Referring to the initial period of three years from a specific start point, often used in the context of forecasting, planning, or analyzing early-stage performance.

Compounded Monthly

The process of calculating interest on both the initial principal and the accumulated interest from previous periods, done once per month.

Principal Repaid

The amount of the original loan paid back, excluding interest or additional fees.