x+\frac{1}{x}=4. Given: x=2+\sqrt{3}

Agaiepsh 2021-11-07 Answered
x+1x=4.
Given: x=2+3
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Expert Answer

George Blue
Answered 2021-11-08 Author has 18 answers
Concept used:
The concept by which a fraction is rewritten so that the denominator contains only rational numbers. A variety of techniques for rationalizing the denominator are as follows:
Square roots:
(a>0,b>0,c>0)
ab+c=ab+c×bcbc
=abacb2c
Calculation:
=2+3+232+32323
=2+3+231
=4
Conclusion:
The required result is proved.
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