Home » Rationalize (frac{sqrt{6} – sqrt{4}}{sqrt{6} + sqrt{4}})

Rationalize (frac{sqrt{6} – sqrt{4}}{sqrt{6} + sqrt{4}})

Rationalize (frac{sqrt{6} – sqrt{4}}{sqrt{6} + sqrt{4}})
  • A.
    5 + 2 (sqrt{6})
  • B.
    5 – 4 (sqrt{6})
  • C.
    5 + 4 (sqrt{6})
  • D.
    5 – 2 (sqrt{6})
Correct Answer: Option D
Explanation

(frac{sqrt{6} – sqrt{4}}{sqrt{6} + sqrt{4}}) = (frac{6-2sqrt{6} – 2sqrt{6} + 4}{6 – 4})
(frac{10 – 4sqrt{6}}{2}) = 5 – 2(sqrt{6})

There is an explanation video available below.

Explanation Video