To add a checkbox to a Laravel AdminLTE page and send the checked items to the server for approval, you can follow these steps:

1. Set up Laravel and AdminLTE: Make sure you have Laravel and AdminLTE installed and properly configured in your project.

2. Create a route: Define a route in your routes/web.php file that corresponds to the action of approving the checked items. For example:

Route::post('/items/approve', 'ItemController@approve')->name('items.approve');

3. Create a controller: Generate a controller using the Laravel artisan command. Run the following command in your terminal:

php artisan make:controller ItemController

This will create a new ItemController file in the app/Http/Controllers directory.

4. Define the approve method: Open the ItemController file and define the approve method to handle the approval logic. For example:

<?php

namespace App\Http\Controllers;

use Illuminate\Http\Request;

class ItemController extends Controller
{
    public function approve(Request $request)
    {
        $approvedItems = $request->input('items', []);
        
        // Perform the approval logic for the selected items
        
        // Redirect or return a response as needed
    }
}

In this example, the approve method retrieves the checked items from the request using the input method and performs the necessary approval logic.

5. Create the view: Create a view file, for example, approve-items.blade.php, to display the checkboxes and form. In this file, you can use the AdminLTE components and the Laravel's @csrf directive to protect against Cross-Site Request Forgery (CSRF) attacks. Here's an example of how the view file could look:

@extends('adminlte::page')

@section('title', 'Approve Items')

@section('content_header')
    <h1>Approve Items</h1>
@stop

@section('content')
    <form action="{{ route('items.approve') }}" method="POST">
        @csrf

        @foreach($items as $item)
            <div class="checkbox">
                <label>
                    <input type="checkbox" name="items[]" value="{{ $item->id }}">
                    {{ $item->name }}
                </label>
            </div>
        @endforeach

        <button type="submit" class="btn btn-primary">Approve</button>
    </form>
@stop

In this example, the items variable represents the collection of items that you want to display checkboxes for.

6. Register the route and view: Finally, register the route and view in your application. For example, you can create a route that renders the approve-items view:

Route::get('/items/approve', 'ItemController@showApproveForm')->name('items.approve.form');

Then, create a corresponding method in the ItemController to return the view:

public function showApproveForm()
{
    $items = // Retrieve the items from the database or any other source

    return view('approve-items', compact('items'));
}

Now, when you navigate to the /items/approve URL, you should see a page with checkboxes for the items. When you select the checkboxes and click the "Approve" button, the form will be submitted to the /items/approve route, and the approve method in the ItemController will be invoked to handle the approval logic.

Note: You may need to adjust the code according to your specific requirements and models.