Question

Ifx=2+root 3,xy=1 then x/root2+rootx+y/root2-rooty

Answer 1

Answer:

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Answer 2

Answer:

Step-by-step explanation:

x = 2 + √3  

xy = 1

y = 1 /(2 + √3) = (2 - √3)/[(2 - √3)(2 + √3) 

  = 2 - √3

Let   √x = √a + √b

then   x = 2 + √3 = a + b + 2 √ab

       so   a + b = 2    and   ab = 3 /4

              (a - b)² = 4 - 3 = 1

               a - b = 1             a = 3/2      b = 1/2

     so √x = (√3 +1)/√2

     √y = 1/√x = (√3 - 1)/√2