Question

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

Answer 1

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Q:-simplify

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

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------>>>>Here is your answer<<<<--------

---->>>here (a+b)^2 FORMULA IS USED

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

$⇛ \frac{( {4 + \sqrt{5} )}^{2} }{( {4})^{2} - { (\sqrt{5} )}^{2} }$

$⇛ \frac{16 + 25 + 2(4)( \sqrt{5} )}{16 - 5} = \frac{41 + 8 \sqrt{5} }{11}$

HOPE IT HELPS YOU..

_____________________

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Answer 2

Answer:

4

5

−3

3

+

4

5

+3

2

⟹

(4

5

−3)(4

5

+3)

3.(4

5

+3)+2.(4

5

−3)

⟹

(4

5

)

2

−(3)

2

12

5

+9+8

5

−6

⟹

80−9

20

5

⟹

71

20

5

HOPE IT HELPS YOU!!

HAVE A GREAT DAY!!