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<p>&nbsp;<p>
<hr noshade size="5">
<h2><a name="Sqrt"></a>
Sqrt
</h2>

Returns a square root of a number.

<p><p>

<h3>
Syntax:
</h3>
<pre>y := Sqrt(x);</pre>

<p>

<table>
<tr>
<td>complex or real</td>
<td><pre>  y  </pre></td>
<td></td>
</tr>
<tr>
<td>complex or real or rational or integer</td>
<td><pre>  x  </pre></td>
<td></td>
</tr>
</table>

<p>


<h3>
Description:
</h3>
Given <tt> x</tt> in Z, Q or R the function returns
\sqrt{<tt> x</tt>} if <tt> x</tt>>0 or i\sqrt{|<tt> x</tt>|}, otherwise. For
<tt> x</tt>=|<tt> x</tt>|e^{i\phi}\inC, \phi\in (-\pi,\pi], the function
returns \sqrt{|<tt> x</tt>|} e^{ifrac{\phi}{2}}. The computation is
done in the current precision of the real (complex) field.

<p><p>

<p>
<hr>
<p>
<h3>
Example:
</h3>

<pre>

kash> Sqrt(2);
1.414213562373095048801688724209698078569671875377
kash> Sqrt(-2);
1.414213562373095048801688724209698078569671875377*i
kash> i := Comp(0, 1);
1*i
kash> Sqrt(i);
0.7071067811865475244008443621048490392848359376883159 + 0.7071067811865475244\
008443621048490392848359376886321*i
kash> Sqrt(-i);
> 0.7071067811865475244008443621048490392848359376883159 - 0.7071067811865475244\
008443621048490392848359376886321*i

</pre>

<p>


<hr>

<p>
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