Question on: JAMB Mathematics - 2011
Rationalize (\frac{2 - \sqrt5}{3 - \sqrt5})
A
\(\frac{1 - \sqrt5}{2}\)
B
\(\frac{1 - \sqrt5}{4}\)
C
\(\frac{ \sqrt5 - 1}{2}\)
D
\(\frac{1 + \sqrt5}{4}\)
Ask EduPadi AI for a detailed answer
Correct Option: B
(\frac{2 - \sqrt5}{3 - \sqrt5}) x (\frac{3 + \sqrt5}{3 + \sqrt5})
(\frac{(2 - \sqrt5)(3 + \sqrt5)}{(3 - \sqrt5)(3 + \sqrt5)}) = (\frac{6 +2\sqrt5 - 3\sqrt5 - \sqrt25}{9 + 3\sqrt5 - 3\sqrt5 - \sqrt25})
= (\frac{6 - \sqrt5 - 5}{9 - 5})
= (\frac{1 - \sqrt5}{4})
Add your answer
Please share this, thanks!
No responses