Question 536450
Step 1 list the numbers and their squares.<P>
{{{1^2=2}}}<BR>
{{{2^2=4}}}<BR>
{{{3^2=9}}}<BR>
{{{4^2=16}}}<BR>
{{{5^2=25}}}<P>
Notice that the value in question isn't one of these perfect squares.  But it does lie between two of them.<P>
{{{9<14<16}}} Thus their square roots are in the same relationship.<P>
{{{sqrt(9)<sqrt(14)<sqrt(16)}}}<P>
Which means {{{3<sqrt(14)<4}}}<P>
Since 14 is closer to 16 than to 9, {{{sqrt(14)}}} will be closer to 4 than to 3.<P>
Plot it somewhere between 3 and 4, closer to 4 than to 3.
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