SO-22436791

HTML

<input class="radio" id="re" type="radio" name="recogida" value="first">
<input class="radio" type="radio" name="recogida" value="second" checked>
<br />
<div id="domicilio" class="oculto">
    <hr />
     <h3>¿Necesitas cambio?:</h3>

    <input type="number" name="cambio" min="1" max="500" />
</div>

JavaScript

$(document).ready(function () {
    $('#domicilio').hide();
    $(".radio").change(function () { //use change event
        if (this.value == "domicilio") { //check value if it is domicilio
            $('#domicilio').stop(true,true).show(); //than show
        } else {
            $('#domicilio').stop(true,true).hide(); //else hide
        }
    });
});