\(-5 - 2\sqrt{6}\)
\(-5 + 3\sqrt{2}\)
\(5 - 2\sqrt{3}\)
\(5 + 2\sqrt{6}\)
Correct answer is A
\(\frac{\sqrt{2} + \sqrt{3}}{\sqrt{2} - \sqrt{3}}\)
= \((\frac{\sqrt{2} + \sqrt{3}}{\sqrt{2} - \sqrt{3}})(\frac{\sqrt{2} + \sqrt{3}}{\sqrt{2} + \sqrt{3}})\)
= \(\frac{2 + \sqrt{6} + \sqrt{6} + 3}{2 - \sqrt{6} + \sqrt{6} - 3}\)
= \(\frac{5 + 2\sqrt{6}}{-1}\)
= \(- 5 - 2\sqrt{6}\)
Each exterior angle of a polygon is 30o. Calculate the sum of the interior angles...
A triangle has angles 30°, 15° and 135°. The side opposite to the angle 30° is lengt...
If sin \(\theta\) = \(\frac{x}{y}\) and 0o < 90o then find \(\frac{1}{tan\theta}\)...
Find the average of the first four prime numbers greater than 10 ...
The ratio of the areas of similar triangles is necessarily equal to ...
Given that sin x = 3/5, 0 ≤ x ≤ 90, evaluate (tanx + 2cosx) ...
If the mean of 2, 5, (x+1), (x+2), 7 and 9 is 6. Find the median ...