Question

4+3√5
/4-3√5
divide the following
​

Answer 1

Step-by-step explanation:

Answer

3.8/5

18

Brainly User

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4 + 3√5 / 4 - 3√5

= ( 4 + 3√5 / 4 - 3√5 ) × ( 4 + 3√5 / 4 + 3√5)

= ( 4 + 3√5)^2 / (4)^2 - (3√5)^2

= (4)^2 + (3√5)^2 + 2*4*3√5 / 16 - 45

= 16 + 45 + 24√5 / - 29

= 61 + 24√5 / -29

Answer 2

$\frac{4 + 3 \sqrt{5} }{4 - 3 \sqrt{5} }$

$\frac{(4 + 3 \sqrt{5} )(4 + 3 \sqrt{5} )}{(4 - 3 \sqrt{5})(4 + 3 \sqrt{5} ) }$

$= \frac{ {(4 + 3 \sqrt{5} )}^{2} }{ {4}^{2} - {(3 \sqrt{5}) }^{2} }$

$= \frac{ {4}^{2} + 2 \times 4 \times 3 \sqrt{5} + {(3 \sqrt{5} )}^{2} }{ {4}^{2} - {(3 \sqrt{5} )}^{2} }$

$= \frac{16 + 24 \sqrt{5} + 45 }{16 - 45}$

$= \frac{61 + 24 \sqrt{5} }{ - 29}$

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