Question

to check if the expression was correctly simplified use x equals one to see if the equations are equivalent

Answer 1

`\sqrt[]{(27x^6)/(21x)}=\sqrt[]{(27x^5)/(21)}`

Substitute x=1 in the above expression.

`\begin{gathered} \sqrt[]{(27*1^5)/(21)}=\sqrt[]{(27*1)/(21)} \\ =\sqrt[]{(27)/(21)} \\ =\sqrt[]{(9)/(7)} \\ \approx1.134 \end{gathered}`

Given:

`3x^2\sqrt[]{(x)/(7)}`

Substitute x=1 in the above expression.

`\begin{gathered} 3*1^2*\sqrt[]{(1)/(7)}=3*1*\sqrt[]{(1)/(7)} \\ =3*\sqrt[]{(1)/(7)} \\ \approx3*0.378 \\ \approx1.134 \end{gathered}`

The value of both the expression are aproximately equals to 1.134 .Thus, the corect option is the first one, 'The value of x=1 yeild approximately 1.134 for each expression, so the '