If the sum of x√48 and 4√3 is 16√3, what is the value of x

x = 3

Explanation:
Before we begin, remember the following:
x√a + y√a = (x+y)√a
√xy = √x * √y

The given equation is:
+  =

Now, we know that:
48 = 16*3
Therefore:
can be written as 
We also know that:

Therefore:


Now, substitute with the above in the given equation, this will give us:
+  =
x(

Based on the rules mentioned earlier, we can conclude that:
4x + 4 = 16
4x = 16-4
4x = 12
x = 3

Hope this helps :)