Add or subtract the radical expressions as indicated, if possible. $3 m \sqrt { 125 m ^ { 2 } } + m ^ { 2 } \sqrt { 180 }$
A) $21 \mathrm {~m} ^ { 2 } \sqrt { 5 }$
B) $111 \mathrm {~m} ^ { 2 } \sqrt { 5 }$
C) $111 \mathrm {~m} \sqrt { 5 }$
D) Cannot be simplified further

Question

Quizplus · Accepted Answer

First, simplify each radical expression. $3m\sqrt{125m^2}$ simplifies to $3m \cdot 5m \cdot \sqrt{5} = 15m^2\sqrt{5}$ because $125m^2 = (5^2m^2) \cdot 5$. $m^2\sqrt{180}$ simplifies to $m^2 \cdot 6\sqrt{5}$ because $180 = 36 \cdot 5$ and $\sqrt{36} = 6$. Adding them together gives $15m^2\sqrt{5} + 6m^2\sqrt{5} = 21m^2\sqrt{5}$.

Add or Subtract the Radical Expressions as Indicated, If Possible 3m125m2+m21803 m \sqrt { 125 m ^ { 2 } } + m ^ { 2 } \sqrt { 180 }3m125m2​+m2180​

Add or Subtract the Radical Expressions as Indicated, If Possible $3 m \sqrt { 125 m ^ { 2 } } + m ^ { 2 } \sqrt { 180 }$