if x = 2 + √3 find the value of x+1÷x
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6
If x = 2 + √3 , find the value of x + 1/x
➭ 1/x = 1/2+√3
➭ 1/x = 1/2 + √3 × 2-√3/2 - √3
➭ 1/x = 1/2² - √3²
➭ 1/x = 2 - √3 / 4 - 3
➭ 1/x = 2 - √3
Now,
➭ x + 1/x = (2 + √3) + (2 - √3)
➭ x + 1/x = 4
Hence,
- Value of x + 1/x = 4
Answered by
1
Answer:
3.9702 is the answer
Step-by-step explanation:
√3=1.7 then 1.7+2=3.7
then x =3.7
therefore 3.7+1÷3=7=3.9702
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