How do you simplify sqrt(8-x^2)?

1 Answer
Jun 18, 2017

2sqrt2-x

Explanation:

To simplify sqrt(8-x^2) you can approach it as:

sqrt(8 & sqrt(-x^2)

Since this isn't a perfect sqrt(8 you can break it down into:

sqrt(4)xxsqrt(2)

Since sqrt(4) is a perfect square we now get 2
But we cannot break down sqrt(2) any further so we leave it how it is.
This is what we got now:

2sqrt2

As for sqrt(-x^2) it can be rewritten as:

(-x^cancel2)^(cancel(1/2))=-x

(-x^2)^(1/2)=-x^(2/2)=-x

So our final answer is 2sqrt2-x