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marissa [1.9K]
2 years ago
10

Evaluate: 11 + sqrt(-4 + 6×4÷3)

Mathematics
1 answer:
Murrr4er [49]2 years ago
3 0

Answer:

11+\frac{2\sqrt{15}}{3}

Step-by-step explanation:

11 + \sqrt{(-4 + 6\times4\div3)} \\\\11+\sqrt{\frac{-4+6\times \:4}{3}}\\\\\sqrt{\frac{-4+6\times \:4}{3}}=\frac{2\sqrt{5}}{\sqrt{3}}\\\\=11+\frac{2\sqrt{5}}{\sqrt{3}}\\\\\frac{2\sqrt{5}}{\sqrt{3}}=\frac{2\sqrt{15}}{3}\\\\=11+\frac{2\sqrt{15}}{3}

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