Okay, so today I spent all day researching a way to 'burn' a bootable .dmg file to a flash drive, or a external hard drive. I figured I would help everyone out that is having disk repair errors, trouble defragmenting, and using other disk utilities that require you to boot from an external source. In my case, I was using my Macbook Air with no system install disk, or superdrive. I needed to repair my disk, and defragment my drive to free up some contiguous space. (This is especially useful for people with a Macbook Air trying to install Windows through Bootcamp without deleting their big files.) I used the program "drive genius," and "super duper" to do these things for me.
Things I used: Super Duper, Mountable .dmg file, external usb drive, and disk utility.
To get started, plug your usb drive into your computer and open up disk utility (located in applications>utilities>disk utility)
Locate your usb drive on the left, click on partition, Choose 1 partition or if you want more, choose what you want. Then name it, and choose Mac OS extended (journaled.) Then click options, and choose GUID Partition table. Click apply. NOTE: Partitioning your usb drive will erase all data!
Now, mount your mountable .dmg file by double clicking on it. Here is where I used the program "Super Duper," you can download the trial version, works just fine for this purpose. http://www.shirt-pocket.com/SuperDuper/SuperDuperDescription.html
Open up Super Duper, and choose your mounted mountable .dmg file, (In my case it was "Drive Genius,") in the copy box. Then in the 'to' box, select your usb drive you just partitioned. Click copy now, and chose restore. let it go. Super Duper will then restore an exact block for block copy of your .dmg file, and make your usb drive bootable all at once!
From there, when you start up your mac hold the option button, and your .dmg should show up as a disc...boot from it and run your disk utilities!
This should work for any bootable .dmg file.
PM Me with questions. Hopefully this helps someone!
Mods, forgive me for posting here, if it is in the wrong section.
Things I used: Super Duper, Mountable .dmg file, external usb drive, and disk utility.
To get started, plug your usb drive into your computer and open up disk utility (located in applications>utilities>disk utility)
Locate your usb drive on the left, click on partition, Choose 1 partition or if you want more, choose what you want. Then name it, and choose Mac OS extended (journaled.) Then click options, and choose GUID Partition table. Click apply. NOTE: Partitioning your usb drive will erase all data!
Now, mount your mountable .dmg file by double clicking on it. Here is where I used the program "Super Duper," you can download the trial version, works just fine for this purpose. http://www.shirt-pocket.com/SuperDuper/SuperDuperDescription.html
Open up Super Duper, and choose your mounted mountable .dmg file, (In my case it was "Drive Genius,") in the copy box. Then in the 'to' box, select your usb drive you just partitioned. Click copy now, and chose restore. let it go. Super Duper will then restore an exact block for block copy of your .dmg file, and make your usb drive bootable all at once!
From there, when you start up your mac hold the option button, and your .dmg should show up as a disc...boot from it and run your disk utilities!
This should work for any bootable .dmg file.

PM Me with questions. Hopefully this helps someone!
Mods, forgive me for posting here, if it is in the wrong section.