Mathematics
JAMB 1979
Rationalize the denominator of the expression \(\frac{6 + 2\sqrt{5}}{4 - 3\sqrt{6}}\)
-
A.
\(\frac{12+ 4\sqrt{5 + 7} 5 + 6\sqrt{3}}{39}\)
-
B.
\(\frac{-(24 + 18\sqrt{6} + 8\sqrt{5} + 6\sqrt{30})}{38}\)
-
C.
\(\frac{24 + 3\sqrt{6 + 8} 5 + 6\sqrt{30}}{19}\)
-
D.
\(\frac{-15 + 3\sqrt{5 + 18} 5 + 6\sqrt{30}}{36}\)
-
E.
\(\frac{-(12 + 4\sqrt{5} +9\sqrt{6} + 3\sqrt{30})}{19}\)
Correct Answer: Option B
Explanation
Rationalize using the reciprocal of the denominator to multiply through
(i.e. Multiply both numerator and denominator using \(4 + 3\sqrt{6}\) )
Watch your signs in the course of this.
Report an Error
Ask A Question
Download App
Quick Questions
Contributions ({{ comment_count }})
Please wait...
Modal title
Report
Block User
{{ feedback_modal_data.title }}