Simplify the expression. Assume all variables represent positive real numbers.
-$\sqrt { 14 \mathrm {~m} ^ { 5 } } \cdot \sqrt { 7 \mathrm {~m} ^ { 9 } }$
A) $7 m ^ { 7 } \sqrt { 2 }$
B) $7 \mathrm {~m}^ 6 \sqrt { 2 }$
C) $14 m ^ { 4 } \sqrt { 7 }$
D) $7 \mathrm {~m} ^ { 8 }$

Question

Quizplus · Accepted Answer

When multiplying square roots, you can combine the expressions under a single square root and then simplify. $\sqrt{14m^5} \cdot \sqrt{7m^9} = \sqrt{14 \cdot 7 \cdot m^5 \cdot m^9} = \sqrt{98m^{14}} = \sqrt{2 \cdot 49 \cdot m^{14}} = 7m^7\sqrt{2}$.

Simplify the Expression 14 m5⋅7 m9\sqrt { 14 \mathrm {~m} ^ { 5 } } \cdot \sqrt { 7 \mathrm {~m} ^ { 9 } }14 m5​⋅7 m9​

Simplify the Expression $\sqrt { 14 \mathrm {~m} ^ { 5 } } \cdot \sqrt { 7 \mathrm {~m} ^ { 9 } }$