Question

try to find the value of a in the question ​

Answer 1

${\huge {\mathfrak {Answer :-}}}$

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L. H. S = (3 - root 5) / (3 + 2 * root 5)

= (3 - root 5)(3 - 2 * root 5)

✨ (3 + 2 * root 5)(3 - 2 * root 5)

= 9 - 6 * root 5 - 3 * root 5 + 10

✨ (3)^2 - (2 * root 5)^2

= 19 - 9 * root 5

✨ 9 - 20

= - (19 - 9 * root 5) / 11

= (9 * root 5 - 19) / 11

= (9 * root 5)/11 - 19/11

Now, seeing the terms in the R. H. S, we can clearly say that,

.°. a = 9/11

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Thanks..