Question

How do you add `\frac { \sqrt { 10} } { 3} + \frac { 2} { 3}`?

Answer 1

`1/3 ( sqrt(10) +2 ) " or " (sqrt(10) + 2)/3`

Explanation:

In general:

`a/b + c/b = (a+c)/b`

As the denominator is the same, and in this circumstance the denominator is both 3...

`sqrt(10)/3+2/3 = color(red)((sqrt(10) + 2)/3 = 1/3 ( sqrt(10) +2 )`

If the denominator isnt the same, you must multiply both top and bottom by something so each fraction has the same denominator then add the numirators..