Question

help please? how to simplify the following radicals or equations. can someone tell me how, not just the answer, too?

4/sqrt 12x^3

(3sqrt11+5)^2

(-3sqrt14x^3)/-sqrt21x

2sqrtx = sqrt6x + 5

okay, this is the last one...

2x = sqrt5x+6

please and thank you!!!

Answer 1

\[\frac{ 4 }{ \sqrt{12x^3} }\]

Answer 2

cannot be simplified to the point where it has no radicals. However, you can "rationalize the denominator," which means to eliminate the radical from the denominator (only).

Answer 3

First, let's actually do it! Then, we can discuss what we did and why.
Multiply both numerator and denominator of the following by Sqrt(12x):\[\frac{ 4 }{ \sqrt{12x^3} }\frac{ \sqrt{12x} }{\sqrt{12x}}\]

Answer 4

Would you now do the necessary math?

Answer 5

so 4sqrt12x^3/12x^3

Answer 6

I agree with the ' 12 ' in the denominator, but not with the x^3. Mind reviewing this and seeing if you can fix it?

Answer 7

Look at the denominator again: It includes \[\sqrt{12x^3}\sqrt{12x}\]

Answer 8

we can re-write this as \[\sqrt{12^2}\sqrt{x^3*x}\]

Answer 9

How would you simplify that?

Answer 10

Hints:\[\sqrt{2^2}=2,~and~\sqrt{x^4}=x^2\]

Answer 11

@quickrabbit: OpenStudy informs me that you are currently offline. Next time, would you please let me know if you're signing off. I would have been willing to lead you through the solution of this problem, had you stuck with it.