Question

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

radical, then square both sides" method to simplify.

Answer 1

Answer: False

=============================================================

Step-by-step explanation:

The radical is one step away from being fully isolated. We would apply the rule that
`(√(A))/(√(B)) = \sqrt{(A)/(B)}`

In this case,

`(√(x+3))/(√(x-1)) = \sqrt{(x+3)/(x-1)}`

Meaning that the equation

`(√(x+3))/(√(x-1)) =3`

is the same as

`\sqrt{(x+3)/(x-1)} = 3`

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