Question

Why are they not equal? Please explain!!

Answer 1

The root of 16 is 4 and the root of 9 is 3.

Explanation:

For the first instance, 16+9 is 25 and the root of that is 5. But for the second one, we have to first find the roots. So 4+3 which equals 7. These are obviously not equal. Does this make sense? Hope that helps.

Answer 2

Step 1: Justify

Solve the first one

`√(16+9)` →
`√(25)`

`√(25)` →
`5`

Solve the second one

`√(16) + √(9)` →
`√(4^2) + √(3^2)`

`√(4^2) + √(3^2)` →
`4+3`

`4+3` →
`7`

So...

`5\\eq 7`