Correct Answer: Option C

Explanation

x = 3 - \(\sqrt{3}\)

x² = (3 - \(\sqrt{3}\))²

= 9 + 3 - 6\(\sqrt{34}\)

= 12 - 6\(\sqrt{3}\)

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

∴ x² + \(\frac{36}{x^2}\) = 6(2 - \(\sqrt{3}\)) + \(\frac{36}{6(2 - \sqrt{3})}\)

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

= 6(2 - \(\sqrt{3}\)) + \(\frac{6(2 + \sqrt{3})}{4 - 3}\)

6(2 - \(\sqrt{3}\)) + 6(2 + \(\sqrt{3}\)) = 12 + 12

= 24

• What is the meaning of agricultural sciences? Answer this

  1 Answers   ·   Agricultural Science   ·   3 days ago
• Does WAEC give Calculator to student for there exam? Answer this

  2 Answers   ·   Mathematics   ·   2 days ago
• 2(3)+2? Answer this

  1 Answers   ·   Mathematics   ·   2 days ago