How to display the validated error texts (laravel) in html?

I need to show the errors when validating the data, and I only show information that I do not need as well.

  

The given data was invalid. {"PERS_varDNI": ["The DNI must have 8   digits "]," PERS_varApPaterno ": [" Enter the Paternal Last Name "],   "PERS_varApMaterno": ["Enter the Maternal Last Name"],   "PERS_varName": ["Enter Names"]}

I'd just like to show

  

"The DNI must have 8 digits",   "Enter the Maternal Surname",   "Enter the Paternal Last Name",   "Enter the Names"

this is the form

<span v-for="error in errors" class="text-danger">@{{ error }}</span>

I get the error here:

createPersona: function(){
            var url='personas';  
            var persona=this.newPersona;     
            axios.post(url,persona).then(response=>{
                this.getPersonas();
                this.newPersona={PERS_varDNI: '', PERS_varApPaterno: '', PERS_varApMaterno: '', PERS_varNombres: ''},
                this.errors=[];
                $('#createPersona').modal('hide');
                toastr.success('Nueva persona creada con exíto');
            }).catch(error=>{
                this.errors=error.response.data
            });
        }

and this is the controller:

public function store(Request $request)
    {
        //
        $messages = [
            'PERS_varDNI.required' => 'Debe ingresar el dni',
            'PERS_varDNI.unique' => 'El DNI ya esta registrado',
            'PERS_varDNI.integer' => 'El DNI solo debe tener numeros',
            'PERS_varDNI.between' => 'El DNI debe tener 8 dígitos',
            'PERS_varApPaterno.required' => 'Ingrese el Apellido Paterno',
            'PERS_varApMaterno.required' => 'Ingrese el Apellido Materno',
            'PERS_varNombres.required' => 'Ingrese los Nombres',
        ];

        $rules=[
            'PERS_varDNI' => 'required|unique:personas|integer|between:9999999,99999999',
            'PERS_varApPaterno' => 'required',
            'PERS_varApMaterno' => 'required',
            'PERS_varNombres' => 'required',
        ];
        $this->validate($request,$rules,$messages);
        Persona::create($request->all());
        return;
    }