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

1 Answer
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#