Question 1161905
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Take the square root of the number


            {{{sqrt(71556)}}} = 267.5.


The pages are &nbsp;267 &nbsp;and &nbsp;268.      &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<U>ANSWER</U>



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By the way, &nbsp;you practically &nbsp;<U>NEVER &nbsp;WILL &nbsp;FIND</U> &nbsp;a book with such numeration of pages.



&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;IT &nbsp;IS &nbsp;<U>INCORRECT</U> &nbsp;numeration.



Correct numeration has even number first and lesser &nbsp;(on the left facing page), &nbsp;than the second number &nbsp;(on the right facing page).


So the problem, &nbsp;as it is presented in the post, &nbsp;is a &nbsp;FAKE &nbsp;(!)



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See the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/misc/Page-numbers-on-the-left-and-right-facing-pages-of-an-opened-book.lesson>Page numbers on the left and right facing pages of an opened book</A> 

in this site, &nbsp;and learn the subject from there.



Happy learning (!)



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The moral is twofold for a student and for a &nbsp;"composer" &nbsp;of the Math problems.


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<U>For a student</U> :  &nbsp;&nbsp;Taking the square root is the quickest way to solve such problems.


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<U>For a composer</U> : &nbsp;&nbsp;think what are you doing.



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Regarding the answer by @greenestamps, keep in mind and be aware, that his numbers are INCORRECT.


This problem IS DEFINITELY not for the mental solution, and the attempt by @greenestamps to solve it MENTALLY 
and his failure CLEARLY PROVES it.