View Full Version : Rational Expression With Square Roots

tristatefabricatorsinc

07-09-2006, 08:07 PM

Simplify the following...

sqrt(18x^3 y^5)

-------------------

sqrt(2xy^2)

can I take the x^3 in the numerator and subtract it with the x^2 in the denominator, or do I have to work on the square root first? I have not done this in a while...

Thank You.

tristatefabricatorsinc

07-09-2006, 08:21 PM

Would I be correct by doing it this way...

by reducing it to...

sqrt(9x^2y^3)

and then...

3xy as the final answer?

galactus

07-09-2006, 08:21 PM

Think of the radical as a 1/2 power.

\L\\\frac{(18x^{3}y^{5})^{\frac{1}{2}}}{(2xy^{2})^ {\frac{1}{2}}}

=\L\\\sqrt{\frac{18x^{3}y^{5}}{2xy^{2}}}

When you divide exponents, you subtract the powers.

Work inside the radical first.

Example: \frac{18x^{3}}{2x}=9x^{2}....See?.

Continue:

\L\\\sqrt{\frac{18x^{3}y^{5}}{2xy^{2}}}\Rightarrow {({9x^{2}y^{3}})^{\frac{1}{2}}}

\L\\3xy^{\frac{3}{2}}

tristatefabricatorsinc

07-09-2006, 09:04 PM

Did you use texAide to make graphical images of the equations, or did you use something else?

galactus

07-09-2006, 09:34 PM

I just typed in the LaTex code.

tristatefabricatorsinc

07-09-2006, 09:51 PM

Ok, I will have to learn it, is it difficult?

galactus

07-10-2006, 07:01 AM

No, click on quote at the upper right corner of my post to see the code.

You can also use TexAide, then copy and paste into your post.

There are many tutorials on the web.

JakeD

07-10-2006, 07:07 AM

Ok, I will have to learn it, is it difficult?

Here is a good tutorial (http://www.sosmath.com/CBB/viewforum.php?f=16) on another math help site.

jonboy

07-10-2006, 09:43 AM

Ok, I will have to learn it, is it difficult?

Here is a good tutorial (http://www.sosmath.com/CBB/viewforum.php?f=16) on another math help site.

Here is the place to download TexAide: link (http://www.dessci.com/en/products/texaide/) (which can be nice for long equations like typing the Quadratic Formula, etc.) and you can also use it as a learning tool by copying and pasting formulas you type and by seeing how the code works .

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