Question

How do you solve this and what is the answer?

Answer 1

We want to get rid of the square root sign somehow, so let's isolate that term.


`2\sqrt{(3x)/(5)} + 3 = 11`

`2\sqrt{(3x)/(5)} = 11 - 3 = 8`

`\sqrt{(3x)/(5)} = 4`

Now, in order to 'undo' a root sign, we need to do the opposite to it, by squaring the term, but in order for it to remain the same, we need to square 4 as well.


`(3x)/(5) = 16`

Now, we can isolate the variable:

`3x = 5 \cdot 16 = 80`

`x = (80)/(3)`, and since we can't simplify this further, our final answer becomes:


`x = (80)/(3)` or
`x = 26(2)/(3)`