<p>IS there any difference regarding radical and square root?</p>
<p>not really, other than the fact that a radical can refer to the nth root, where square root is just dealing with a number inverse squared,</p>
<p>For the purposes of the SAT, there is no significant difference</p>
<p>dude, I can totally see them pulling some bull talking about a radical and tricking the person into thinking solely about square roots, such as:</p>
<p>“In a function, the number under a radical cannot be
a. positive
b. negative
c.fractional
d. no rule”</p>
<p>The answer would be d, since the cube root could have a negative, and so could odd degree roots.</p>
<p>The answer would be E. imaginary, but that would never come up.</p>
<p>right, it would sorry.</p>
<p>It COULD come up</p>
<p>but your right, probably not</p>
<p>A radical is any number with the indexed radical sign over it. A square root is a radical with an index of 2. However, the existence of the 2 is usually understood and never actually embedded outside the radical sign.</p>
<p>Yes. For instance, the number 9 has TWO square roots, 3 and -3. However, the radical symbol, that looks like this:
…_
V9 </p>
<p>always indicates the POSITIVE square root ONLY,
that is, +3. To indicate the negative square root, a negative sign must precede the radical.</p>
<p>You can have imaginary numbers inside square roots…for example, the square root of i can be computed by writing i = e^(i*pi/2), then taking the square root of that.</p>
<p>A radical usually refers to the symbol and can be any root. If there is no superscript number in front of the radical, it is assumed to be the square root.</p>
<p>In LaTeX,
\sqrt{9} denotes the square root of 9, and
\sqrt[3]{27} denotes the cube root of 27.</p>