Simplify the Expression $\frac { \sqrt { 98 } } { 5 } - \frac { 6 \sqrt { 2 } } { 5 } + \frac { \sqrt { 2 } } { \sqrt { 25 } }$

question 56

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $\frac { \sqrt { 98 } } { 5 } - \frac { 6 \sqrt { 2 } } { 5 } + \frac { \sqrt { 2 } } { \sqrt { 25 } }$

• A) \(- \frac { \sqrt { 96 } } { 5 }\)
• B) \(\frac { 4 \sqrt { 2 } } { 5 }\)
• C) \(\frac { 2 \sqrt { 2 } } { 25 }\)
• D) \(\frac { 2 \sqrt { 2 } } { 5 }\)

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Definitions:

Positive

A term that can refer to an optimistic outlook, a test result indicating the presence of a substance or condition, or a number greater than zero.

Negative

A term that can denote a quantity less than zero, a pessimistic outlook, or the inversion of a situation or condition.

Strong Relationship

A significant association or correlation between two or more variables where changes in one variable are closely linked to changes in the other(s).

Exponential

Relating to a mathematical function or model that describes exponential growth or decay, where the rate of change is proportional to the current value.