Simplify the Radical Expression $\sqrt { 162 \mathrm { k } ^ { 7 } \mathrm { q } ^ { 8 } }$

Simplify the radical expression. Assume that all variables represent positive real numbers.
- $\sqrt { 162 \mathrm { k } ^ { 7 } \mathrm { q } ^ { 8 } }$

A) $9 \mathrm { k } ^ { 3 } \mathrm { q } ^ { 4 } \sqrt { 2 \mathrm { k } }$
B) $9 \mathrm { k } ^ { 3 } \mathrm { q } ^ { 4 } \sqrt { 2 }$
C) $9 q ^ { 4 } \sqrt { 2 k ^ { 7 } }$
D) $9 \mathrm { k } ^ { 7 } \mathrm { q } ^ { 8 } \sqrt { 2 \mathrm { k } }$

Correct Answer:

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