Question

Which choices are equivalent to the expression below? Check all that apply.A.B.C.72D.E.F.

Answer 1

GIven:

`3√(8)`

Required:

We need to find the equivalent expression

Step-by-step explanation:

let

`\begin{gathered} x=3√(8) \\ x^2=72 \end{gathered}`

now just we need to check that which square is 72

1)

`\begin{gathered} a=√(3)√(12) \\ a^2=36\text{ not possible} \end{gathered}`

2)

`\begin{gathered} b=√(6)√(12) \\ b^2=72\text{ possible} \end{gathered}`

3)

`\begin{gathered} c=72 \\ c^2=5184\text{ not possible} \end{gathered}`

4)

`\begin{gathered} d=√(3)√(24) \\ d^2=72\text{ possible} \end{gathered}`

5)

`\begin{gathered} e=√(6)√(24) \\ e^2=144\text{ not possible} \end{gathered}`

6)

`\begin{gathered} f=√(9)√(8) \\ f^2=72\text{ possible} \end{gathered}`

Final answer:

`\begin{gathered} √(6)√(12) \\ √(3)√(24) \\ √(9)√(8) \end{gathered}`

are equivalent to given expression