Squaring Radical Within A Radical

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SUMMARY

The expression "(-2sqrt{8 - 2sqrt{7}})^2" simplifies to "4(8 - 2sqrt{7})". The discussion confirms the correctness of the simplification process, emphasizing the importance of accurately interpreting the square root notation. Participants clarified the intended expression and ensured that the radical was correctly represented, leading to a definitive conclusion about the simplification.

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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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