my gutters drain into corrugated plastic drain pipes that pipe it out to the street about 50 feet .  i found roots in it and its plugged up the pipe.  thinking of snaking it out like one would do with inside plumbing.

since the corrugated plastic pipe used in outside drain is a lot thinner than abs pipe,  would it survive a snaking?

Since it's already clogged with roots, you might as well try. What can it hurt?

Dug mine up and replaced with 4" DVW PVC.

The bad thing that can happen is the snake going through the plastic creating another hole or through where the roots infiltrate and get hung up.

Maybe a jetter would be more gentle than the auger rooter which would most likely tear up that thin corrugated pipe.

How is a snake going to pull out a root that is growing into the drain pipe. It's not a loose clog like hair or flushable wipes.

This^^^

Snakes won't touch a root clogged drain. The roots will laugh at the snake, and it may bore out through the side.

I bet the corrugated tile is also perforated... NEVER use perforated tile near trees.

A couple options, maybe not kosher in your area, but may be. Copper sulfate poured down will poison the roots. It may kill the tree, but that would solve the problem. After the roots have died and partially decomposed they may be able to be snaked. Another option is to dig up and replace that section with solid piping. You don't want even the smallest crack, joint, or seam or those roots will just find their way back in.

This.
Corrugated pipe walls and metal augers are generally not a good combination.
Those cutters rely on the pipe walls to help keep them going straight.

Once they get off center forces acting on them they can cut into the corrugations.

Copper sulfate x2

Mix with some calcium chloride (CaCl2) and hang over entrance to line.
The calcium chloride is very hygroscopic and wil 'melt' with ambient humidty.
This dissolves the Copper Sulfate and delivers a slow long term dose.
Any living root will be killed and rot away.