Question

How do you solve `sqrt(x+1) = 2`?

Answer 1

x = 3

Explanation:

To 'undo' the square root we have to perform the inverse operation.
The inverse to 'square root' is 'square'. Since this is an equation we must square both sides.

`rArr(sqrt(x+1))^2=2^2rArrx+1=4rArrx=4-1=3`

Answer 2

`x = 3`

Explanation:

When `sqrt(x + 1) = 2`
Square both sides
`x + 1 = 4`
Subtract `1` from both sides
`x = 3`

Check when `x = 3`
`3 + 1 = 4` and `sqrt 4 = 2`
So answer is correct