Where is this plant growing?  Is it a wet area?  It also looks like you have field horsetail which is also a difficult plant to control.

We're on 40 acres.  It's growing in our flower beds around the house which is where we want to control it.  We are not as concerned to control it over the whole property.  And yes we have field horsetail, common reed grass, creeping thistle and common sow thistle.  All of these appear to be rhizome plants.

The best option is to spot-treat with glyphosate.  When using products containing glyphosate there are a few important points to consider. First, as with any pesticide, remember to read and follow all labeled instructions. Second, glyphosate is a broad-spectrum herbicide, meaning it will injure or kill other plants contacted during application, so care is needed to avoid green plant material, exposed roots, and injured bark of desired plants. Third, glyphosate is relatively safe in the environment when used as labeled. It adsorbs strongly to soil in most cases (i.e., clay and organic matter), allowing even sensitive crops to be planted shortly after application; meaning no carryover issues are expected. Fourth, glyphosate alone can take up to 14 days to show full activity under ideal growing conditions. Retreatment of the area may be needed depending on the degree of infestation. Glyphosate is most effective for perennial control in the fall but can be applied anytime the plants are actively growing (temperatures consistently above 50F, when lawns need regular mowing is a good indicator). For woody species, periods of heavy sap flow in the spring may not be effective times to treat. Finally, be sure that the product you choose has only the active ingredient glyphosate or glyphosate + pelargonic acid. Products with additional active ingredients may have other unwanted effects and may delay the planting of other plants in the coming season(s).