Question

Which of the following is equivalent to sqrt(6m) * sqrt(3m)?

Answer 1

`3m√(2)`

Step-by-step explanation:

`\begin{gathered} √(6m)*√(3m)=\text{ }√(6*m)*√(3*m) \\ √(6*m)*√(3*m)=√(6)*√(m)*√(3)*√(m) \\ √(6)*√(m)*√(3)*√(m)=√(m)*√(m)*√(3*2)*√(3) \\ √(m)*√(m)*√(3*2)*√(3)=m*√(3)*√(2)*√(3) \\ m*√(3)*√(2)*√(3)=3m√(2) \end{gathered}`