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

MATHEMATICS
WAEC 2017

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

  • A. 4
  • B. \(\sqrt{3} + 4\)
  • C. 4 \(\sqrt{2}\)
  • D. 4\(\sqrt{3} + 4\)

Correct Answer: A. 4

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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