If $\sqrt { 3 } =1.732$, find the approximate value of $\dfrac { 1 }{ \sqrt { 3 } } $.

To find the reciprocal of $\sqrt{3}$, we rationalize the denominator by multiplying the fraction $\frac{1}{\sqrt{3}}$ by $\frac{\sqrt{3}}{\sqrt{3}}$. This results in $\frac{\sqrt{3}}{3}$, and substituting the given value $1.732$ for $\sqrt{3}$ gives $\frac{1.732}{3}$. Performing the division yields $0.577$, which is the approximate value.

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