Add the radical expressions.
-$$z ^ { 2 } \sqrt { 18 z } + 7 \sqrt { 98 z }$$
A) $\left( 3 z ^ { 2 } + 49 \right) \sqrt { 2 z }$
B) $\left( 18 z ^ { 2 } + 686 \right) \sqrt { z }$
C) $\left( z ^ { 2 } + 7 \right) \sqrt { 116 z }$
D) Cannot be simplified further

Question

Quizplus · Accepted Answer

First, simplify the radicals: $\sqrt{18z} = 3\sqrt{2z}$ and $\sqrt{98z} = 7\sqrt{2z}$. Then, factor out the common radical to get $(3z^2 + 7)\sqrt{2z}$, which simplifies to $(3z^2 + 49)\sqrt{2z}$, matching choice A.

Add the Radical Expressions z218z+798zz ^ { 2 } \sqrt { 18 z } + 7 \sqrt { 98 z }z218z​+798z​

Add the Radical Expressions $z ^ { 2 } \sqrt { 18 z } + 7 \sqrt { 98 z }$