Answer :
Answer:
The equivalent expression is [tex]\sqrt{\frac{x}{3}}[/tex].
Step-by-step explanation:
We have the expression, 'radical eight x squared divided by radical three x'
Since, 'radical is referred to square root function'
So, the given expression is, 'square root of x squared divided by square root of three x'
That is, the expression is, [tex]\frac{\sqrt{x^2}}{\sqrt{3x}}[/tex]
i.e. Expression = [tex]\frac{x}{\sqrt{3x}}[/tex]
i.e. Expression = [tex]\frac{\sqrt{x}\sqrt{x}}{\sqrt{3}\sqrt{x}}[/tex]
i.e. Expression = [tex]\frac{\sqrt{x}}{\sqrt{3}}[/tex]
i.e. Expression= [tex]\sqrt{\frac{x}{3}}[/tex]
Thus, the equivalent expression is [tex]\sqrt{\frac{x}{3}}[/tex].