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
\(\frac{-(12 + 4\sqrt{5} +9\sqrt{6} + 3\sqrt{30})}{19}\)
Explanation
Correct Option
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fortuneARS
2 years ago
6+2√5
---------
4 – 3√6
Rationalize
6+2√5(4+3√6)
---------------------
4–3√6(4+3√6
24+18√6+8√5+6√30
-----------------------------
16– 54
24+18√6+8√5+6√30
------------------------------
–38.
–(24+18√6+8√5+6√30)
--------------------------------
38
The answer is correct 
