Find the Domain fourth root of 36y

Problem

√(4,36*y)

Solution

1. Identify the condition for the domain of an even root. For any expression √(n,ƒ(y)) where n is even, the radicand must be greater than or equal to zero.

2. Set up the inequality based on the radicand.

36*y≥0

3. Solve for y by dividing both sides of the inequality by 36

y≥0/36

4. Simplify the result to find the final domain.

y≥0

Final Answer

Domain: *{[y∈ℝ,y≥0]}

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