Question

If x= root 5+ root 3 divided by root 5 - root 3 then find the value of x+1/x

Answer 1

Answer:

8 Ans

Step-by-step explanation:

your answer

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Answer 2

Answer:

8

Step-by-step explanation:

x = (root 5+ root 3) / (root 5 - root 3)

Therefore, x + 1/x = (root 5+ root 3) / (root 5 - root 3) + (root 5 - root 3) / (root 5+ root 3)

⇒ x + 1/x = [ (root 5+ root 3)² + (root 5 - root 3)² ] / [ (root 5)² - (root 3)² ]

              = [ (root 5+ root 3)² + (root 5 - root 3)² ] / [ 2 ]

              = 2(root 5)² + 2(root 3)² / [ 2 ]

              = (root 5)² + (root 3)²

              = 5 + 3

              = 8

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