Mathematics

Rationalize (frac{2sqrt{3} + sqrt{5}}{sqrt{5} – sqrt{3}})

Rationalize (frac{2sqrt{3} + sqrt{5}}{sqrt{5} – sqrt{3}})

  • A.(3 √ 15 +11) / 2
  • B.3 √ 15 -11
  • C.(3 √ 15 -11) / 2
  • D.3 √ 15 +11
Correct Answer: Option A
Explanation

(frac{2sqrt{3} + sqrt{5}}{sqrt{5} – sqrt{3}})

= ((frac{2sqrt{3} + sqrt{5}}{sqrt{5} – sqrt{3}})(frac{sqrt{5} + sqrt{3}}{sqrt{5} + sqrt{3}}))

= (frac{2sqrt{15} + 6 + 5 + sqrt{15}}{5 – 3})

= (frac{3sqrt{15} + 11}{2})