Question

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

Answer 1

x=8
When you plug 3 into x the sum of the first equation is 27.7128129211. The second equation equals 27.712819211 as well.

Answer 2

Answer:
x = 3

Step-by-step explanation:
Before we begin, remember the following:
x√a + y√a = (x+y)√a
√xy = √x * √y

The given equation is:

`x`
`√(48)` +
`4 √(3)` =
`16√(3)`

Now, we know that:
48 = 16*3
Therefore:

`√(48)` can be written as
`√(16*3)`
We also know that:

`√(16) = 4`
Therefore:

`√(16*3) = √(16) * √(3) = 4 √(3)`

Now, substitute with the above in the given equation, this will give us:

`x`
`√(48)` +
`4 √(3)` =
`16√(3)`
x(
`4 √(3) + 4 √(3) = 16 √(3) \\ 4x √(3) + 4 √(3) = 16 √(3)`

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

Hope this helps :)