Find Positive Square Root of 30

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SUMMARY

The discussion centers on finding the positive square root of the expression \(70 - 20\sqrt{30}\). It is established that this expression is negative, thus confirming that it does not possess a real square root. The quadratic equation presented, \(b^2 + 170b - 3000 = 0\), is noted as a point of confusion for the user. The community emphasizes the importance of showing work to facilitate effective assistance.

PREREQUISITES
  • Understanding of quadratic equations and their solutions
  • Knowledge of real numbers and their properties
  • Familiarity with square roots and their definitions
  • Basic algebraic manipulation skills
NEXT STEPS
  • Review the properties of square roots and negative numbers
  • Study the quadratic formula and its applications
  • Explore complex numbers and their relevance to square roots of negative values
  • Practice solving quadratic equations with real and complex solutions
USEFUL FOR

Students studying algebra, educators teaching quadratic equations, and anyone interested in understanding the properties of square roots and real numbers.

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.
 

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