The value of 5 - (8 + 2√(15))/4 - 1/(8 + 2√(15)) is equal to:

The value of 5 - (8 + 2√(15))/4 - 1/(8 + 2√(15)) is equal…

The value of 5 - $\frac{8 + 2\sqrt{15}}{4}$ - $\frac{1}{8 + 2\sqrt{15}}$ is equal to:

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 1

⇒ 5 - $\frac{8 + 2\sqrt{15}}{4}$ - $\frac{1}{8 + 2\sqrt{15}}$

$\frac{1}{8 + 2\sqrt{15}}$ on rationalizing we get,

= $\frac{8 - 2\sqrt{15}}{4}$

⇒ 5 - $\frac{8 + 2\sqrt{15}}{4}$ - $\frac{8 - 2\sqrt{15}}{4}$

⇒ 4/4 = 1