JSFiddle - React, Tailwind, and code Playground

HTML

<form class="search_field" method="GET" action="http://www.google.com/search">
    <input name="q" />
    <button type="submit"><img src="http://upload.wikimedia.org/wikipedia/commons/thumb/3/33/Crystal_Clear_action_viewmag.png/16px-Crystal_Clear_action_viewmag.png" alt="Search" /></button>
</form>

CSS

.search_field {
    display: inline-block;
    border: 1px inset #ccc;
}

.search_field input {
    border: none;
    padding: 0;
}

.search_field button {
    border: none;
    background: none;
}