if x=2+√3 then x+1/x equals to?? pls give the explanation
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1
Answer:
4
Step-by-step explanation:
Given : x = 2 + √3
To Find : find the value of x + 1/x
Solution:
x + 1/x
Since x = 2 + √3
To find 1/x
x = 2 + √3
1/x = 1/2+√3 x 2-√3/2-√3
1/x = 2-√3/(2)2 - (√3)2
1/x = 2-√3/4-3
1/x = 2-√3
Substitute the values
x + 1/x
2 + √3 + 2- √3
4
Hence the value of x+1/x is 4
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