MHB Squaring Radical Within A Radical

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The expression (-2sqrt{8 - 2sqrt{7}})^2 is confirmed to be correctly simplified as 4(8 - 2sqrt{7}). There was initial confusion regarding the notation, specifically the placement of the square root. The discussion clarified that the intended expression involved the square root of 7, not a different notation. Participants agreed on the simplification and confirmed the correct interpretation of the expression. The focus remained on ensuring clarity in mathematical notation and 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.
 

Thread 'Significant figures for inherently bound values'

I have been insisting to my statistics students that for probabilities, the rule is the number of significant figures is the number of digits past the leading zeros or leading nines. For example to give 4 significant figures for a probability: 0.000001234 and 0.99999991234 are the correct number of decimal places. That way the complementary probability can also be given to the same significant figures ( 0.999998766 and 0.00000008766 respectively). More generally if you have a value that...
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