## anonymous one year ago What is the rational denominator of... 5x^4/sqrt(4x-6)

1. tkhunny

I do wish I knew what this question meant. Please show your work and give us a clue.

2. anonymous

$\frac{ 5x^3 }{ \sqrt{4x-6} }$

3. anonymous

rationalize the denominator

4. tkhunny

Okay, do it. What's preventing you from doing the two multiplications, one in the numerator and one in the denominator? Never post a problem with no work shown.

5. anonymous

What do I multiply them by? I am doing this class online and I dont get the tutorials. You dont need to be rude!!

6. tkhunny

I am never rude. I am honest and direct. This is often mistaken for rudeness. I have yet to see an online program that was particularly helpful. They may be out there. I just haven't seen them. You must multiply by whatever will make the denominator rational. $$\dfrac{3}{\sqrt{2}} = \dfrac{3}{\sqrt{2}}\cdot\dfrac{\sqrt{2}}{\sqrt{2}} = \dfrac{3\sqrt{2}}{2}$$ See how that works?