If $x ^ 2 + 1 / x ^ 2 =23 $ find the value of $x + 1 / x$

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If $x ^ 2 + 1 / x ^ 2 =23$ find the value of $x + 1 / x$

Answer:

$(x+1/x)^2=x^2+1/x^2+2$

$(x+1/x)^2=23+2$

$(x+1/x)^2=25$

$x+1/x=\sqrt{25}=5$

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