Squaring Radical Within A Radical

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Discussion Overview

The discussion revolves around the expression "(-2sqrt{8 - 2{7}})^2" and its simplification. Participants explore the squaring of a radical expression and whether it can be further simplified.

Discussion Character

  • Mathematical reasoning

Main Points Raised

  • One participant presents the expression "(-2sqrt{8 - 2{7}})^2" and calculates it as "4(8 - 2sqrt{7})".
  • Several participants confirm the calculation as correct.
  • Another participant questions the presence of "sqrt{7}" in the original expression, suggesting a possible typographical error and clarifying the intended expression as "(-2sqrt{8 - 2sqrt{7}})^2".
  • The original poster confirms the intended expression as "(-2sqrt{8 - 2sqrt{7}})^2".
  • There is a query about whether the expression can be further simplified, but no responses provide a definitive answer.

Areas of Agreement / Disagreement

Participants generally agree on the correctness of the initial calculation, but there is uncertainty regarding the expression's original form and whether it can be further simplified.

Contextual Notes

The discussion includes a potential typographical error regarding the expression and lacks clarity on the simplification process.

mathdad
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(-2sqrt{8 - 2{7}})^2

(-2sqrt{8 - 2{7}})(-2sqrt{8 - 2{7}})

4(8 - 2sqrt{7})

Correct?
 
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Yes.
 
greg1313 said:
Yes.

Can it be further simplified?
 
Originally you had "(-2sqrt{8 - 2{7}})^2". Where did the sqrt{7} come from? Did you intend to write "(-2sqrt{8 - 2sqrt{7}})^2"?
 
HallsofIvy said:
Originally you had "(-2sqrt{8 - 2{7}})^2". Where did the sqrt{7} come from? Did you intend to write "(-2sqrt{8 - 2sqrt{7}})^2"?

Yes, I intend to write (-2sqrt{8 - 2sqrt{7}})^2.
 

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