Question

Which choices are equivalent to the expression below? Check all that appl6√3

Answer 1

Given:

`6√(3)`

And we know that:

`6√(3)=√(36*3)=√(108)`

Check each of the options:

`\begin{gathered} A.√(18)\cdot√(6)=√(18\cdot6)=√(108) \\ so,\text{ A is equivalent to 6}√(3) \end{gathered}`
`B.√(54)\text{ is not equivalent to 6}√(3)`
`C.\text{ }108\text{ is not equivalent to 6}√(3)`
`\begin{gathered} D.√(3)\cdot√(36)=√(3\cdot36)=√(108) \\ so,\text{ D is equivalent to 6}√(3) \end{gathered}`
`\begin{gathered} E.√(108) \\ so,\text{ E is equivalent to 6}√(3) \end{gathered}`
`\begin{gathered} F.√(3)√(6)=√(3\cdot6)=√(18) \\ so,\text{ F is not equivalent to 6}√(3) \end{gathered}`

Answer:

A, D and E