Question

Evaluate 4-√5/4+√5+4+√5/4-√5​

Answer 1

Answer:

8

Step-by-step explanation:

Question-

$4 - \frac{ \sqrt{5} }{4} + \sqrt{5} + 4 + \frac{ \sqrt{5} }{4} - \sqrt{5}$

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Solution -

$4 - \frac{ \sqrt{5} }{4} + \sqrt{5} + 4 + \frac{ \sqrt{5} }{4} - \sqrt{5} \\ \\ = \frac{16}{4} - \frac{ \sqrt{5} }{4} + \frac{4 \sqrt{5} }{4} + \frac{16}{4} + \frac{ \sqrt{5} }{4} - \frac{ 4\sqrt{5} }{4} \\ \\ = \frac{16 - \sqrt{5} + 4 \sqrt{5} + 16 - 4 \sqrt{5} }{4} \\ \\ = \frac{32}{4} \\ \\ = 8$

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Required Answer-$\color{black}\boxed{\colorbox{saffron}{8}}$