How to simplify square root of 72?
2 answers:
Answer:
Step-by-step explanation: The easiest way to do this problem is to factor 72 as 2 · 36 then recognise 36 as a perfect square, 6 · 6.
There is no need to factor further because the 6's pair up. So a 6 comes out of the radical leaving a 2 inside and our answer is .
As you make your factor tree, always be on the lookout for perfect squares such as 36.
I have shown my work in the image attached.
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are the <em>farthest</em> from the origin and
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Let be a curve of the form . The distance with respect to origin is found by using the following Pythagorean identity:
(1)
Where is the square distance function.
We can modify (1) as following:
(1b)
Now we apply the First and second derivative tests to determine the minimum and maximum distances from the origin:
First derivative test
Second derivative test
The y-component represents a maximum.
Now we graph the function with the ressource of a graphing tool, we find the following points:
Farthest points: ,
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Closest points: .
and
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To learn more on ellipses, we kindly invite to check this verified question: brainly.com/question/19507943
