Respuesta :

The simpliication of the expression is:

[tex]\frac{3 + 5x}{\sqrt{96}*x - \sqrt{x} }[/tex]

How to simplify the expression?

We have the expression:

[tex]\frac{3 + 5\sqrt{x^2} }{4\sqrt{6x^2} - \sqrt{x} }[/tex]

Remember two things:

[tex]\sqrt{x^2} = x\\\\\sqrt{A*B} = \sqrt{A} *\sqrt{B}[/tex]

So we can rewrite the expression as:

[tex]\frac{3 + 5\sqrt{x^2} }{4\sqrt{6x^2} - \sqrt{x} }\\\\\frac{3 + 5x}{\sqrt{96}x - \sqrt{x} }[/tex]

And we can't simplify the equation anymore than that, so we stop there.

If you want to learn more about square roots:

https://brainly.com/question/24487155

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