Which is the Java equivalent of the expression c = (√a + √b)²?

The expression ( c = (\sqrt{a} + \sqrt{b})^2 ) involves calculating the square of the sum of the square roots of ( a ) and ( b ). To convert this expression into Java syntax correctly, you need to follow the order of operations and use the appropriate Java methods for mathematical functions.

In Java, the Math.sqrt() function computes the square root, while Math.pow() raises a number to a specified power. The correct choice involves first computing the square roots of ( a ) and ( b ), adding them together, and then squaring the result.

The correct expression, ( c = Math.pow((Math.sqrt(a) + Math.sqrt(b)), 2) ), fulfills these requirements by:

1. Computing ( \sqrt{a} ) using Math.sqrt(a).
2. Computing ( \sqrt{b} ) using Math.sqrt(b).
3. Adding the two results together.
4. Squaring the sum using Math.pow(..., 2).

This aligns perfectly with the original mathematical expression. Therefore, the reasoning leads to the conclusion that option D accurately reflects the original expression in Java syntax.