What is the following difference 11 square root 45 -4 square root 5

Your problem looks like this [tex]11\sqrt{45}  - 4\sqrt{5}[/tex]To make this problem easier, we need to simplify these square roots [tex]11\sqrt{45}[/tex]    can be simplified Here's how :The factors of 45 are 9 and 5 9 is a perfect square root, but 5 is not Think of the problem like this [tex]\sqrt{9}     ×     \sqrt{5}[/tex]The square root of 9 is 3, but 5 has no perfect square root Now [tex]11\sqrt{45}[/tex] is simplified to [tex]33\sqrt{5}[/tex]Now let's solve the problem, because we have a common square root of 5 [tex]33\sqrt{5}[/tex] - 4\sqrt{5}[/tex]Our final answer is [tex]29\sqrt{5}[/tex]Feel free to ask questions if you are confused! Hope I helped :)