Solve for y square root of y+2=3

Problem

√(,y+2)=3

Solution

1. Identify the equation as a radical equation where the variable y is under a square root.

2. Square both sides of the equation to eliminate the square root.

(√(,y+2))2=3

3. Simplify both sides of the equation.

y+2=9

4. Isolate the variable y by subtracting 2 from both sides.

y=9−2

5. Solve for the final value.

y=7

6. Verify the solution by substituting y=7 back into the original equation: √(,7+2)=√(,9)=3

Final Answer

√(,y+2)=3⇒y=7

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