Question

if x=1/√3+1 then the value of x+1/x is
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Answer 1

Answer:

x=1/√3+1

therefore,... x= 1/√3+1×√3-1/√3-1 (rationalize the denominator)

we get,... 1×√3-1/(√3)²-(1)²

= √3-1/3-1

= √3-1/2

therefore x= √3-1/2

therefore,.. 1/x= 1/√3-1/2

= 2/√3-1

therefore,. 1/x = 2/√3-1

the value of x+1/x

= √3-1/2+2/√3-1

= (√3-1)²+4/2(√3-1)

= (√3)²+(1)²-2×√3×1+4/2(√3-1)

= 3+1-2√3+4/2(√3-1)

= 2/2(√3-1)

= 1/√3-1 is the answer.

Step-by-step explanation:

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