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syd141
29.07.2019 •
Mathematics
What is the simplest form of root 3.025
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Ответ:
Explanation:
1) By convention if you do not mention the index of the root it is square root.
2) By definition the square root of a number x is the numberwhose square is the original number, i.e.
√3025 = 55 because 55^2 = 3025.
3) 3025 is a perfect square because it is the square of a whole numbe.
4) It is easy to find the square root of a perfect square, but if the number is not easily reknownm as a perfect square you will have to probe with several numbers until finding the square root.
For example, you might easily realize that 50^2 is 2500, and that 60^2 is 3600, so you start testing numbers greater thatn 50 and less than 60 until you get 55^2 = 3025.
5) How can you simplify a radical? If you know the properties of radicals you can simplify a radical easily.
You start by decomposing 3025 into its prime factors.
That will result into:
Then, by radical properties:
So, the simplest form of √3025 is 55.
Ответ:
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