Simplify the Expression $( 2 \sqrt { 7 } + 10 \sqrt { 5 } ) ( 2 \sqrt { 7 } + 6 \sqrt { 5 } )$

question 357

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $( 2 \sqrt { 7 } + 10 \sqrt { 5 } ) ( 2 \sqrt { 7 } + 6 \sqrt { 5 } )$

• A) \(4 \sqrt { 7 } + 60 \sqrt { 5 }\)
• B) \(- 272 + 32 \sqrt { 35 }\)
• C) \(328 + 32 \sqrt { 35 }\)
• D) \(4 \sqrt { 7 } + 60 \sqrt { 5 } + 32 \sqrt { 35 }\)

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Definitions:

Water Pollutants

Substances or conditions that contaminate water bodies, adversely affecting water quality, aquatic life, and safe consumption by humans and wildlife.

Chemical Analysis

The study and use of methods and techniques to identify and quantify the chemical components of a substance or sample.

Cultural Eutrophication

The process by which a body of water becomes overly enriched with minerals and nutrients, often due to runoff from the land, leading to excessive growth of algae and decline in water quality.

Algae Blooms

Rapid increase or accumulation in the population of algae in water systems, often resulting in discoloration of waters and causing negative ecological effects.