So to get you back on the right path, here's a working document with split button dropdown.
<!doctype html>
<html lang="en">
<head>
<meta charset="utf-8">
<title>Bootstrap 3.3.7 Starter</title>
<meta name="viewport" content="width=device-width, initial-scale=1">
<meta http-equiv="X-UA-Compatible" content="IE=edge">
<!--[if lt IE 9]>
<script src="http://html5shiv.googlecode.com/svn/trunk/html5.js"></script>
<![endif]-->
<!--Bootstrap-->
<link rel="stylesheet" href="http://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/css/bootstrap.min.css">
</head>
<body>
<div class="container">
<div class="row">
<div class="col-sm-10">
<h3>Working Split Button Dropdown</h3>
<!-- Split button dropdown -->
<div class="btn-group">
<button type="button" class="btn btn-danger">Click Me</button>
<button type="button" class="btn btn-danger dropdown-toggle" data-toggle="dropdown" aria-haspopup="true" aria-expanded="false">
<span class="caret"></span>
<span class="sr-only">Toggle Dropdown</span>
</button>
<ul class="dropdown-menu">
<li><a href="#">Action</a></li>
<li><a href="#">Another action</a></li>
<li><a href="#">Something else here</a></li>
<li role="separator" class="divider"></li>
<li><a href="#">Separated link</a></li>
</ul>
<!--end split button--></div>
<!--end col--></div>
<!--end row--></div>
<!--end container--></div>
<!--latest jQuery-->
<script src="https://code.jquery.com/jquery-1.12.2.min.js" integrity="sha256-lZFHibXzMHo3GGeehn1hudTAP3Sc0uKXBXAzHX1sjtk=" crossorigin="anonymous"></script>
<!--Bootstrap-->
<script src="http://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/js/bootstrap.min.js"></script>
</body>
</html>
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