If x = √27 + √3, then what is the value of x²?
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Correct answer: D
Explanation
Given:
x = √27 + √3
Using the formula:
(a + b)² = a² + b² + 2ab
x² = (√27 + √3)²
= (√27)² + (√3)² + 2√27√3
= 27 + 3 + 2√(27 × 3)
= 30 + 2√81
= 30 + 2 × 9
= 30 + 18
= 48