Set datetime textbox to string.empty

I have a datetime textbox and a clear button.When user clicks "clear", i want to have that textbox set to blank.My below code doesnt work. Not sure how to do it. I think some default date should be used and compared with but not sure...
private DateTime? JobEndDate

            DateTime? dateValue = null;
            if (!string.IsNullOrEmpty(txtEmployedTo.Text))
                dateValue = Convert.ToDateTime(txtEmployedTo.Text);
            return dateValue;

        set { txtEmployedTo.Text = Convert.ToString(value); }

JobEndDate = string.Empty; //*** this doesnt work

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JobEndDate = null
set {
 if (value.HasValue)
  txtEmployedTo.Text = Convert.ToString(value.Value);
    txtEmployedTo.Text = String.Empty;

JobEndDate = null

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