Question

x= 2+√3 find the value of x+1/3
answer ASAP

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

x + 1/x = 4

Solution:

• Given : x = 2 + √3
• To find : x + 1/x

We have ;

x = 2 + √3

Thus,

1/x = 1/(2 + √3)

Now ,

Rationalising the denominator of the term in RHS , we have ;

=> 1/x = (2 - √3)/(2 + √3)(2 - √3)

=> 1/x = (2 - √3)/[ 2² - (√3)² ]

=> 1/x = (2 - √3)/(4 - 3)

=> 1/x = (2 - √3)/1

=> 1/x = 2 - √3

Thus,

=> x + 1/x = 2 + √3 + 2 - √3

=> x + 1/x = 4

Hence,

Required answer is 4 .