For Solve the equation: 2√(x + 2) = 3√2 If x > 0, what is the value of x?

Explanation

2√(x + 2) = 3√2

Step-by-step solution:

Step 1: Divide both sides by 2

√(x + 2) = (3√2)/2

Step 2: Square both sides

x + 2 = [(3√2)/2]²  

= (9 × 2) / 4  

= 18 / 4  

= 4.5

Step 3: Subtract 2 from both sides

x = 4.5 − 2  

x = 2.5

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