# How do you simplify sqrt(x+1)=5?

Mar 22, 2018

$x = 24$

#### Explanation:

I'm assuming you mean solve, so here's what you do:

Square both sides to get

$x + 1 = 25$

Subtract $1$ from both sides to get

$x = 24$

Mar 22, 2018

$x = 24$

#### Explanation:

To solve this equation for $x$, we need to first get rid of the sqrt.

To do this, we need only square the entirety of the sqrt. Remember, however, that what we do on one side, we must do on the other.

So it should now look like:

$\sqrt{x + 1} = 5$

$\implies {\left(\sqrt{x + 1}\right)}^{2} = {5}^{2}$

$\implies x + 1 = 25$

Now we just solve for $x$ as we would normally:

$x + 1 = 25$

$\implies x + 1 - 1 = 25 - 1$

$\implies x = 24$