Vacuum the area of the tan carpet that has the bleach stain.
Mix a solution consisting of a small amount of dish detergent and warm water. Apply the solution to the stain and scrub.
Blot up as much of the moisture as possible from the carpet with a paper towel or clean cloth. Let the spot dry.
Try to match the color of the tan carpet as closely as possible with a carpet dye repair kit. Follow all the instructions on the kit's label.
Test the dye on a very small and inconspicuous part of the carpet to see if it is a match.
When the dye matches the tan color of the carpet, dye the entire bleached spot. Let the carpet dry.
Cut out a triangle around the stained area of the carpet with a carpenter's knife. (A triangle is easier to replace than a round or irregularly shaped piece of carpet.) Gently raise the piece of carpet with pliers to lift it off the carpet padding.
Cut a triangle out of a spare piece of carpet that is the same size, or slightly larger, than the piece of carpet you just removed.
Cut a piece of heavy fabric that is slightly larger on all sides than the removed piece of carpet.
Push the piece of heavy fabric into the hole. Center the fabric in the hole, and flatten it out.
Place carpet glue on the piece of fabric. Work the fabric under the carpet with a tool such as a screwdriver to help it stick to the bottom of the existing carpet.
Place the new piece of carpet over the fabric, and press down. Make sure the nap (or grain) of the patch goes in the same direction as the rest of the carpet. Let the glue dry.
Vacuum the carpet to remove any residue, and fluff up the carpet's surface.