Question

$\sqrt{3 {x}^{2} } + 2 \sqrt{3x} + 3 \sqrt{3} = 0$
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Answer 1

Answer:

√(3x²) + 2√(3x) + 3√3 = 0

=> (√x)² + 2√x + 3 = 0

This is a quadratic (in √x) with discriminant

2² - 4×1×3 = 4 - 12 = -8 < 0

so there are no real solutions for √x, and consequently, no real solutions for x.