Question

If x=2+√3,then 1/x is equal to
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Answer 1

Answer:

I don't know the answer so sorry I tried by my self and also from Google my ans was coming wrong

have a nice day

Answer 2

Answer:

/x = (2 - √3)

Step-by-step explanation:

Given that x = 2 + √3

then 1/x = 1/(2 + √3)

Now, on rationalizing the equation

=> 1/x = [ 1/(2 + √3) ] × [ (2 - √3)/(2 - √3) ]

=> 1/x = (2 - √3)/[ (2 + √3)(2 - √3) ]

=> 1/x = (2 - √3)/[ (2)² - (√3)² ]

because (a + b)(a - b) = a² - b²

=> 1/x = (2 - √3)/[ 4 - 3 ]

=> 1/x = (2 - √3)/1

=> 1/x = (2 - √3)