Math, asked by shreyasekar19, 1 year ago

if x=✓3 then find (x+1/x)​

Answers

Answered by sanketj
0

x =  \sqrt{3} \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   =  >  {x}^{2}   = 3 \\  \\ \:  \:  \:  \:  \:  x +  \frac{1}{x}  \\  =  \frac{ {x}^{2} + 1 }{x}  \\  =  \frac{3 + 1}{ \sqrt{3} }  \\  =  \frac{4}{ \sqrt{3} }  \\  =  \frac{4 \sqrt{3} }{ \sqrt{3}  \sqrt{3} }  \\  =  \frac{4 \sqrt{3} }{3}

Answered by debanshbiswal9531
0

Step-by-step explanation:

x =  \sqrt{3}  \\ x +  \frac{1}{x}  \\  \sqrt{3  }  +   \frac{1}{ \sqrt{3} }  \\  \frac{3 + 1}{ \sqrt{3} }  \\  \frac{4}{ \sqrt{3} }

then rationalise it you will get the perfect answer

and that is (4×3^1/2)/4

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