The sum of n terms of the series $\frac{1}{{\sqrt 3 + \sqrt 7 }} + \frac{1}{{\sqrt 7 + \sqrt {11} }} + \frac{1}{{\sqrt {11} + \sqrt {15} }} + \cdot \cdot \cdot $ is

Question

The sum of n terms of the series $\frac{1}{{\sqrt 3 + \sqrt 7 }} + \frac{1}{{\sqrt 7 + \sqrt {11} }} + \frac{1}{{\sqrt {11} + \sqrt {15} }} + \cdot \cdot \cdot $ is

TuteeHUB · Accepted Answer

$\sqrt {3 + 4n} + \sqrt 3 $

TuteeHUB · Answer

$\frac{{\sqrt {3 + 4n} + \sqrt 3 }}{n}$

TuteeHUB · Answer

$\frac{n}{{\sqrt {3 + 4n} + \sqrt 3 }}$

TuteeHUB · Answer

$\frac{1}{{\sqrt {3 + 4n} + \sqrt 3 }}$

1.	The sum of n terms of the series \(\frac{1}{{\sqrt 3 + \sqrt 7 }} + \frac{1}{{\sqrt 7 + \sqrt {11} }} + \frac{1}{{\sqrt {11} + \sqrt {15} }} + \cdot \cdot \cdot \) is
A.	\(\frac{{\sqrt {3 + 4n} + \sqrt 3 }}{n}\)
B.	\(\frac{n}{{\sqrt {3 + 4n} + \sqrt 3 }}\)
C.	\(\sqrt {3 + 4n} + \sqrt 3 \)
D.	\(\frac{1}{{\sqrt {3 + 4n} + \sqrt 3 }}\)
Answer» C. \(\sqrt {3 + 4n} + \sqrt 3 \)

The sum of n terms of the series \(\frac{1}{{\sqrt 3 + \sqrt 7 }} + \frac{1}{{\sqrt 7 + \sqrt {11} }} + \frac{1}{{\sqrt {11} + \sqrt {15} }} + \cdot \cdot \cdot \) is

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