answer:Are you asking for a numerical value, or for the significance of the number? Although in physics, factors of sqrt(pi) show up from time to time, there’s no deep significance to the number you get from taking the square root which is not already present for pi itself. Numerically to 500 digits, the value is: 1.77245385090551602729816748334114518279754945612238712821380778985291\ 1284591032181374950656738544665416226823624282570666236152865724422602\ 5250937096027870684620376986531051228499251730289508262289320953792679\ 6280017463901535147972051670019018523401858544697449491264031392177552\ 5906216405419332500906398407613733477475153433667989789365851836408795\ 4511651617387600590673934317913328098548462481849020546548521956132515\ 6164746751504273876105610799612710721006037204448367236529661370809432\ 34988316684.