Simplify the Expression $$\sqrt { 14 m ^ { 5 } } \cdot \sqrt { 7 m ^ { 17 } }$$

question 347

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $$\sqrt { 14 m ^ { 5 } } \cdot \sqrt { 7 m ^ { 17 } }$$

• A) \(7 m ^ { 12 }\)
• B) \(14 m ^ { 8 } \sqrt { 7 }\)
• C) \(7 m ^ { 11 } \sqrt { 2 }\)
• D) \(7 \mathrm {~m} ^ { 10 } \sqrt { 2 }\)

---

Definitions:

French and Indian War

A major conflict between 1754 and 1763 in North America, part of a larger imperial struggle between Britain and France, ultimately leading to British dominance in North America.

British Crown

Symbolizes the sovereignty and authority of the monarchy of the United Kingdom and other Commonwealth realms.

Militia Service

Participation in a military force that is not part of the regular army and is often reserved for emergencies or defending the home territory.

1656

A historical year with various global events, not associated with a specific widely recognized definition without context.