you have to cut it dont burn it

You have got to dig it up completely; every little bit of it. Roots, shoots, twigs, everything.

Water it with salted water

>Tactical Nukes.

Seriously, you really will have a job getting rid of it for good…just keep digging out all the roots you can and be very careful not to leave any broken bits of root in the soil…eventually you will be rid of it if you are just a little more aggressive than it is.

use a shovel to cut a circle at theouter limit of where it grows, stopping the baby shoots. make a smaller circle all around to make the plant smaller. find the mother plant and cut a very small circle around it. the last circle should kill all distant plants and if your circle is right, you will kill the base plant as well.

hope that is clear

yes, you need to dig it out all of it, the roots and you may have to do this a couple if times, but why would you want to, you do know that you can use it to may a little bit of money with it (bamboo fishing poles) and you can eat the shoots is soups and some meat and chicken dishes. well if you want to get rid of it then yes, you have to dig it out and pick up all the twigs sticks and roots.
good luck….cya….

You forgot to mention if it's running bamboo or clumping!
If it's running bamboo be prepared to work hard.
Running bamboo
HGTV/Getting Rid of Bamboo
Open the link below and start reading
from /To successfully / See below

To successfully remove bamboo, James suggests stabbing a small shovel around the base of the plant. Gently lift the shovel to remove as much of the plant as possible. Then thoroughly inspect the soil to a depth of about a foot, and remove any roots that remain. "If you leave behind even the tiniest bit of root or rhizome, you'll have more bamboo," says James.

If a neighboring bamboo is infiltrating your yard, there are several ways to treat the problem. Keep in mind that the rhizomes are like underground stems and can travel long distances as well as under fences.

Clumping Bamboo

Before you start the process determine which one you have and that can make your job way easier.
Good Luck to you!
Especially if it's running bamboo.

Three Steps for eradicating Bamboo.

1) Invite your neighbor over for a few drinks.

2) Spike his drink with Lye(dont worry he deserves it for planting the most invasive grass known to man).

3) Start at the furthest shoot and start digging (about a foot down) and yanking the roots up with all your might. Continue this digging and tugging until you work your way back to the 'mother' plant and carefully mix the rest of the lye ~2 to 1 part water in a gallon bucket and dig out about a foot of dirt around the plant and backfill with the lye mixture till it is completely dead. (good way to dispose of the evidence too). Caution when handling draino it will burn your skin-read the label!