Algebra-2

Question Analysis
This problem assesses the ability to solve an equation involving a rational exponent by isolating the term with the rational exponent and then raising both sides to the appropriate power.

Key Concept Explanation
To solve the equation , we first isolate the term with the rational exponent, then raise both sides to the reciprocal of the exponent to eliminate the radical.
Undoing Exponent: Raise both sides to the power (reciprocal of ) to simplify: . Since the numerator (2) is even, will emerge, leading to two solutions ( ).

Step-by-step Solution
1. Add 3 to both sides:
2. Multiply both sides by 2:
3. Undo the exponent by raising both sides to the power:
.
Left side: .
Right side: