Question

How do I simply this radical expression?

Answer 1

Answer:

$1000±100\sqrt{55}$

Step-by-step 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, $\sqrt{2^{6}5^{5}11} = 200\sqrt{55}$.

Now we have: $\frac{2000±200\sqrt{55}}{2}$

Dividing by 2: $1000±100\sqrt{55}$

So the simplified expression is: $1000±100\sqrt{55}$