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miv72 [106K]
3 years ago
13

How do I simply this radical expression?

Mathematics
1 answer:
Karolina [17]3 years ago
4 0

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}

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