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

Nov 8, 2015

You square the equation and solve normally. The answer is 2.

#### Explanation:

Since both parts of the equation are being square rooted you can square the whole equation to turn $\sqrt{1 + x} + \sqrt{1 - x}$ to $1 + x + 1 - x$. Your then solve that expression normally to get you final answer.

Step by step:
$\sqrt{1 + x} + \sqrt{1 - x}$
$1 + x + 1 - x$
$1 + 1 + x - x$
Now we conbine the x's and ones to get our final answer of $2$