I am trying to copy a file from Root directory over to my home directory. I had to execute the extraction of a file as ROOT user. I can see it is extracted into root directory but I now want to access this in my home directory. I have tried a number of commands to do this but it seems to fail.
Assuming your username is deirdre:
As root, you have to move the file from root's homedir to deirdre's homedir and give it ownership to deirdre:
mv /root/somefile ~deirdre/ chown deirdre ~deirdre/somefile
Once you've done this, you will be able to login as deirdre and access the file.
It isn't clear from your question whether the file is in root's home directory or in the filesystem root; if it is the last case, the commands are instead:
mv /somefile ~deirdre/ chown deirdre ~deirdre/somefile