Add or subtract the radical expressions as indicated, if possible. $$z ^ { 2 } \sqrt { 18 z } + 7 \sqrt { 200 z }$$
A) $\left( 3 z ^ { 2 } + 70 \right) \sqrt { 2 z }$
B) $\left( 18 z ^ { 2 } + 1400 \right) \sqrt { z }$
C) $\left( z ^ { 2 } + 7 \right) \sqrt { 218 z }$
D) Cannot be simplified further

Question

Quizplus · Accepted Answer

First, simplify each radical: $\sqrt{18z} = 3\sqrt{2z}$ and $\sqrt{200z} = 10\sqrt{2z}$. Then, combine like terms: $z^2 \cdot 3\sqrt{2z} + 7 \cdot 10\sqrt{2z} = (3z^2 + 70)\sqrt{2z}$.

Add or Subtract the Radical Expressions as Indicated, If Possible z218z+7200zz ^ { 2 } \sqrt { 18 z } + 7 \sqrt { 200 z }z218z​+7200z​

Add or Subtract the Radical Expressions as Indicated, If Possible $z ^ { 2 } \sqrt { 18 z } + 7 \sqrt { 200 z }$