$$( 3 + \sqrt { 23 } ) - \sqrt { 23 } \quad \frac { 2 \sqrt { 7 } } { 7 \sqrt { 7 } }$$
$\frac{5\sqrt{23}}{7}+3\approx 6.425593945$
$$3+\sqrt{23}-\sqrt{23}\times \frac{2}{7}$$
$$3+\frac{5}{7}\sqrt{23}$$
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$\frac{5 \sqrt{23} + 21}{7} = 6.425593945223371$