Rationalize the denominator of the expression (frac{6 + 2sqrt{5}}{4 – 3sqrt{6}})
-
A.
(frac{12+ 4sqrt{5 + 7} 5 + 6sqrt{3}}{39}) -
B.
(frac{-(24 + 18sqrt{6} + 8sqrt{5} + 6sqrt{30})}{39}) -
C.
(frac{24 + 3sqrt{6 + 8} 5 + 6sqrt{30}}{19}) -
D.
(frac{-15 + 3sqrt{5 + 18} 5 + 6sqrt{30}}{36}) -
E.
(frac{-(12 + 4sqrt{5} +9sqrt{6} + 3sqrt{30})}{19})
Correct Answer: Option E
Explanation
Rationalize using the reciprocal of the denominator to multiply through
(i.e. Multiply both numerator and denominator using (4 + 3sqrt{6}) )
Watch your signs in the course of this.