7151
/www/nrich/html/content/id/7151/
1
2011-02-01T00:00:01
<?xml version="1.0" encoding="UTF-8"?>
<mdoxml version="1.0"><p>How many integers <span style="font-style: italic;">n</span> exist such that the difference between $\sqrt{n}$ and $10$ is less that $1$?<br></br>
<br></br>
<br></br>
If you liked this problem, <a href="http://nrich.maths.org/841&part=">here is an NRICH task</a> which challenges you to use similar mathematical ideas.</p>
<p> </p></mdoxml>
<?xml version="1.0" encoding="UTF-8"?>
<mdoxml version="1.0">
<br></br>
<p>We requre that $9< \sqrt {n}< 11$, or, equivalently, that $81< n< 121$. <br></br>
<br></br>
Hence the possible integer values for <span style="font-style: italic;">n</span> are the $39$ values $n = 82, 83,$ ... $, 119, 120$.<br></br>
<br></br>
<br></br>
</p>
</mdoxml>
2
3
0
0
1
1
0
Weekly Problem 4 - 2011
Weekly Problem 4 - 2011
Algebra
Inequality/inequalities
Numbers and the Number System
Powers & roots