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How do I simply this radical expression?

How do I simply this radical expression?-example-1
User Swilliams
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1 Answer

7 votes

Answer:


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)

User Griffon Vulture
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