Multiple choice

Expand and simplify (2 + √3)(1+√3)

  1. 5+3√3

  2. 11 + 3√3

  3. 5 + 2√6
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A Correct answer
Explanation

Expand the expression using the FOIL method: (2 * 1) + (2 * sqrt(3)) + (sqrt(3) * 1) + (sqrt(3) * sqrt(3)). This simplifies to 2 + 2*sqrt(3) + sqrt(3) + 3, which combines to 5 + 3*sqrt(3).

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