Respuesta :

Answer: False

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Explanation:

The radical is one step away from being fully isolated. We would apply the rule that [tex]\frac{\sqrt{A}}{\sqrt{B}} = \sqrt{\frac{A}{B}}[/tex]

In this case,

[tex]\frac{\sqrt{x+3}}{\sqrt{x-1}} = \sqrt{\frac{x+3}{x-1}}[/tex]

Meaning that the equation

[tex]\frac{\sqrt{x+3}}{\sqrt{x-1}} =3[/tex]

is the same as

[tex]\sqrt{\frac{x+3}{x-1}} = 3[/tex]

From here, we square both sides and use algebra to isolate x.