Respuesta :

Zoee:  Here's a case where parentheses are badly needed to clarify this post.  I am unsure of whether you mean 4*sqrt(9)/2x, or 4*sqrt(19/2)/ x or something else.

All I can do here is work backwards from the given possible answer "sqrt(9x)".  That could be simplified to "sqrt(9)*sqrt(x)", which equals 3*sqrt(x).  Not very helpful.

So, Zoee, at this point I recommend that you share an image of the original problem.  Could you take and share a screen shot?  Only with the original problem in mind could I help you meaningfully as you try to express the problem and its possible solutions.

Answer with explanation:

We have to find equivalent expression of

   [tex]\rightarrow4\times \sqrt{9^{\frac{1}{2}}}\times x\\\\\rightarrow4\times (9^{\frac{1}{2}})^{\frac{1}{2}}}\times x}\\\\\rightarrow 4 \times{9^{\frac{1}{4}}}\times x}\\\\\text{Used the Identity}(a^b)^m=a^{bm}[/tex]

Two expression are said to be equivalent, if we replace the variable by some  constant value , the Numerical value of Original expression and the Numerical value of Equivalent expression are same.