Simplify Assume All Variables Represent Positive Real Numbers $\frac { 64 \sqrt { 13 } } { 40 \sqrt { 5 } }$

question 145

Multiple Choice

Simplify. Assume all variables represent positive real numbers.
- $\frac { 64 \sqrt { 13 } } { 40 \sqrt { 5 } }$

• A) \(\frac { 8 \sqrt { 65 } } { 5 }\)
• B) \(\frac { 8 \sqrt { 65 } } { 25 }\)
• C) \(\frac { 8 \sqrt { 13 } } { 25 }\)
• D) \(\frac { 8 \sqrt { 13 } } { 5 }\)

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Definitions:

Triassic

The first period of the Mesozoic Era, occurring approximately 252 to 201 million years ago, noted for the rise of reptiles and the first dinosaurs.

Carboniferous

A geologic period and system that spans 60 million years from the end of the Devonian Period about 358.9 million years ago to the beginning of the Permian Period, known for its vast coal beds.

Ordovician

A period in the Earth's geologic timescale that occurred about 488 to 443 million years ago, distinguished by significant biological diversification.

Cretaceous

The geological period between 145 and 66 million years ago, noted for the dominance of dinosaurs and the appearance of flowering plants.