Question

Which choice is equivalent to the quotient:√(14x^3) divided by √(7x)

Answer 1

C. x√2

Explanation:

Given the quotient:

`√(14x^3)/√(7x)`

We can write the division as one quotient as follows:

`=\sqrt{(14x^3)/(7x)}`

Next, we simplify:

`\begin{gathered} =\sqrt{(14)/(7)*(x^3)/(x)} \\ =√(2* x^2) \end{gathered}`

We can then separate the product:

`\begin{gathered} =√(2)*√(x^2) \\ =√(2)* x \\ =x√(2) \end{gathered}`

The equivalent choice is Option C.