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

Jun 2, 2016

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.

$\Rightarrow {\left(\sqrt{x + 1}\right)}^{2} = {2}^{2} \Rightarrow x + 1 = 4 \Rightarrow x = 4 - 1 = 3$

Jun 2, 2016

#### Answer:

$x = 3$

#### 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