If that is = a, find the value of a + 1 over a 3 - √(5) ​

Question

If that is = a, find the value of a + 1 over a

`3 - √(5)`
​

Answer 1

7+√5/4

Explanation:

if that is = a, find the value of a + 1 over a

​Given that a = 3 - √5

a+1/1 = (3-√5)+1/3 - √5

4-√5/3 - √5

Rationalize

4-√5/3 - √5 * 3+√5/3 + √5

= 12 +4√5-3√5-√25/9-5

= 12+√5-5/4

= 7+√5/4

Hence the requred answer is 7+√5/4