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

Which of the following is equivalent to sqrt(6m) * sqrt(3m)?-example-1
User Nicensin
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1 Answer

21 votes
21 votes

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}

User Bob Desaunois
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