Is it safe to use Google's DNS?

[Todd And Margo Chester]

Hi All,

I can not get frontier's DNS servers to resolve
releases.mozilla.org.  So, in my /etc/named.conf
I commented out frontier's DNS servers and substituted
Google's (8.8.8.8) and Open DNS' (208.67.222.222).

        # forwarders { 216.67.192.3; 74.40.37.242; };
        # forwarders { 74.40.74.40; 74.40.74.41; };
        forwarders { 8.8.8.8; 208.67.222.222; };

Am I making a security mistake here?

Many thanks,
-T