MHB Find Positive Square Root of 30

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The discussion centers on finding the positive square root of the expression 70 - 20√30. A user reached a quadratic equation but feels stuck, indicating they are unsure how to proceed. Another participant points out that the expression is negative, which means it does not have a real square root. This clarification highlights the importance of verifying the problem's parameters before attempting a solution. The conversation emphasizes the need for clear communication in mathematical problem-solving.
xclusivzik
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find the positive square root of
70-20\sqrt{30}
 
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Hello and welcome to MHB! :D

We ask that our users show their progress (work thus far or thoughts on how to begin) when posting questions. This way our helpers can see where you are stuck or may be going astray and will be able to post the best help possible without potentially making a suggestion which you have already tried, which would waste your time and that of the helper.

Can you post what you have done so far?
 
i reached a quadratic equation that is kind of my dead end

B square +170b-3000=0
 
xclusivzik said:
find the positive square root of
70-20\sqrt{30}
Are you sure that you have stated the problem correctly? The number $70 - 20\sqrt{30}$ is negative, so it does not have a real square root, positive or negative.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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