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Simplify; \(\sqrt{2}(\sqrt{6} + 2\sqrt{2}) – 2\sqrt{3}\)

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Mathematics WAEC 2017

Simplify; \(\sqrt{2}(\sqrt{6} + 2\sqrt{2}) – 2\sqrt{3}\)

  • 4 checkmark
  • \(\sqrt{3} + 4\)
  • 4 \(\sqrt{2}\)
  • 4\(\sqrt{3} + 4\)

The correct answer is: A

Explanation

\(\sqrt{2}(\sqrt{6} + 2\sqrt{2}) - 2\sqrt{3}\)

\(\sqrt{12}\) + 2 x 2 - 2\(\sqrt{3}\)

2 \(\sqrt{3}\) - 2 \(\sqrt{3}\) + 4

= 4

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