Question

How do I simply this radical expression?

Answer 1

`1000±100√(55)`

Explanation:

To simplify that expression, first we need to find the largest common of the expression inside the radical, in this case: 2.200.000.

We know that 2.200.000 = 2 · 2 · 2 · 2 · 2 · 2 · 5 · 5 · 5 · 5 · 5 · 11 =
`2^(6)` ×
`5^(5)`×
`11`

Now,
`\sqrt{2^(6)5^(5)11} = 200√(55)`.

Now we have:
`(2000±200√(55))/(2)`

Dividing by 2:
`1000±100√(55)`

So the simplified expression is:
`1000±100√(55)`