Question

True or false: The equation below is too complicated to use the "isolate the

Answer 1

Answer: False

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Explanation:

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

In this case,

$\frac{\sqrt{x+3}}{\sqrt{x-1}} = \sqrt{\frac{x+3}{x-1}}$

Meaning that the equation

$\frac{\sqrt{x+3}}{\sqrt{x-1}} =3$

is the same as

$\sqrt{\frac{x+3}{x-1}} = 3$

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