Removing /wordpress from URL

Hello All,

We have a fresh install of wordpress on CentOS 6.7 with Apache.

Currently, the wordpress files are located in /usr/share/wordpress and my domain name is <ourdomainname>.com/wordpress.

in /etc/httpd/conf.d we have a file called wordpress.conf which contains the following:

cat wordpress.conf
Alias /wordpress /usr/share/wordpress

<Directory /usr/share/wordpress>
  AllowOverride Options
  <IfModule mod_authz_core.c>
    # Apache 2.4
    Require local
  </IfModule>
  <IfModule !mod_authz_core.c>
    # Apache 2.2
    Order Allow,Deny
    Allow from All
 </IfModule>
</Directory>

<Directory /usr/share/wordpress/wp-content/plugins/akismet>
  <FilesMatch "\.(php|txt)$">
    Order Deny,Allow
    Deny from all
  </FilesMatch>
</Directory>

httpd.conf shows
DocumentRoot "/var/www/html"

What would be the best way to remove the wordpress subdirectory from the site’s URL so we can just use the base URL to access the wordpress site directly? I assume we should leave the wordpress files where they are and try to do it through configuration changes?

Is there a reason not to just put the files in the document root folder?