Simplify the Expression $$\frac { 1 } { \sqrt { 5 } } + \frac { 5 } { \sqrt { 20 } } - \frac { 3 } { \sqrt { 45 } }$$

question 274

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $$\frac { 1 } { \sqrt { 5 } } + \frac { 5 } { \sqrt { 20 } } - \frac { 3 } { \sqrt { 45 } }$$

• A) \(\frac { 1 } { 2 } \sqrt { 5 }\)
• B) \(\frac { 1 } { 2 } \sqrt { 35 }\)
• C) \(- \frac { 17 } { 30 } \sqrt { 5 }\)
• D) \(\frac { 17 } { 30 } \frac { 1 } { \sqrt { 5 } }\)

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Definitions:

Salvage Value

The envisaged monetary value of an asset when sold after its lifespan of utility.

Tax Rate

The percentage at which an individual or corporation is taxed.

Straight-Line Depreciation

A method of depreciating an asset at a fixed rate over its useful life, spreading the cost evenly across the period.

Useful Life

The estimated duration of time that an asset is expected to be productive for the purpose it was acquired for.