Question

$\frac{ \sqrt{5} - 2}{ \sqrt{5} + 2 } - \frac{ \sqrt{5} + 2}{ \sqrt{5} - 2 } = a - b \sqrt{5}$
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Answer 1

Step-by-step explanation:

$\frac{ \sqrt{5} - 2}{ \sqrt{5} + 2} + \frac{ \sqrt{5} + 2}{ \sqrt{5} - 2} = a - b \sqrt{5} = >$

$\frac{ {( \sqrt{5} + 2) }^{2} +{( \sqrt{5} - 2)}^{2} }{( \sqrt{5} - 2)( \sqrt{5} + 2) } = a - b \sqrt{5} = >$

$\frac{5 + 4 + 4 \sqrt{5} + 5 + 4 - 4 \sqrt{5} }{5 - 4} = a - b \sqrt{5} = >$

$18 = a - b \sqrt{5} = > a = 18 \: and \: b = 0$

Hope it helps you.

Answer 2

Step-by-step explanation:

check this image.

here is your answer.