Question

If X = √5+√3 find the value of x+1/x .

Answer 1

Answer:

√5

Step-by-step explanation:

x + 1/x = (√5 +√3) + (1 /√5 +√3)

          = (√5 + √3) + (1 / √5 + √3) x (√5 - √3) / (√5 - 3)

          = (√5 + √3) + (√5 - √3) / (√5)${2}$ - (√3)$2$

          = (√5 + √3) + (√5 - √3) / (5 - 3)

          = (√5 + √3) + (√5 - √3) / 2

          =  √5 + √3 + √5 - √3 x 1/2

          =  2 √5 / 2

          =  √5

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