Find the value of `sqrt(3+sqrt5)-sqrt(2+sqrt3)`

Explanation

`3+sqrt5 = 1/2(6+2sqrt5)`

` =1/2(5+1+2sqrt5) = 1/2(sqrt5^2+1^2+2(sqrt5)(1))`

`=1/2(sqrt5+1)^2`

So,`sqrt(3+sqrt5) = 1/sqrt2(sqrt5+1)->(1)`


Now,

`2+sqrt3 = 1/2(4+2sqrt3)`

`1/2(3+1+2sqrt3) = 1/2(sqrt3^2+1^2+2(sqrt3)(1))`

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