a = 9, b = -5
a = 5, b = 9
a = 9, b = 5
a = -5, b = 9
Correct answer is A
\(\frac {3 - \sqrt 3}{2 + \sqrt 3} = a + b\sqrt 3\)
Rationalize
= \(\frac {3 - \sqrt 3}{2 + \sqrt 3} \times \frac {2 - \sqrt 3}{2 - \sqrt 3}\)
= \(\frac {(3 - \sqrt 3)}{(2 + \sqrt 3)} \frac {(2 - \sqrt 3)}{(2 - \sqrt 3)}\)
= \(\frac {6 - 3 \sqrt 3 - 2 \sqrt 3 + (\sqrt 3)^2}{4 - 2 \sqrt 3 + 2 \sqrt 3 - (\sqrt 3)^2}\)
= \(\frac {6 - 5 \sqrt 3 + 3}{4 - 3}\)
= \(\frac {9 - 5 \sqrt 3}{1} = 9 - 5 \sqrt 3\)
= 9 + (-5) \(\sqrt 3\)
\(\therefore a = 9, b = - 5\)
Evaluate \((\frac{6}{0.32} \div \frac{2}{0.084})^{-1}\) correct to 1 decimal place....
If \(\frac{1+\sqrt{2}}{1-\sqrt{2}}\) is expressed in the form of x+y√2 find the values of ...
Arrange the following numbers in descending orders of magnitude: 22three, 34five, 21six...
Two triangles have the same areas if ...
Find the capacity in liters of a cylindrical well of radius 1 meter and depth 14 meters [π = 22/...
From the cyclic quadrilateral MNOP above, find the value of x....