# Square Root equivilant expersions?

• Jul 23rd 2008, 05:45 PM
Solance
Square Root equivilant expersions?
I am preparing to take a placement test tomarrow for school, and am doing some sample questions for the test, and i totally cant remember how to do this among other things so i am sure you will hear from me quite a bit in the coming hours.

For positive real numbers x, y, and z, which of the following expressions is equivalent to x^(1/2)y^(2/3)z^(5/6) ?
A. 3sqrt( xy2z3)
B. 6sqrt( xy2z5)
C. 6 sqrt( x3y2z5)
D. 6 sqrt( x3y4z5)
E. 11 sqrt( xy2z5)

i am really looking for a guide/explanation and a soultion.
• Jul 23rd 2008, 06:32 PM
TKHunny
1) You provided no expression.

2) You showed no work of your own.

3) If you really do not know, it would be appropriate for you to miss this one on a placement exam.
• Jul 23rd 2008, 06:46 PM
Solance
I knew how do do this at one time. but i just cant remember, and i have to do the best i can i need to test high for my major. and i just need a refresher on some of the older stuff i cant remember.
• Jul 24th 2008, 04:45 AM
TKHunny
Why would there be a constant factor in the front? There are no constant factors in the original expression. Are you certain you copied the problem correctly?

You do not need to "test high for my major", but I agree you should "do the best I can". Please notice that these are not the same things. If you "test high" and get into a class for which you are not prepared, you waste time and money, and not just your own.
• Jul 24th 2008, 05:46 AM
masters
Quote:

Originally Posted by Solance
I am preparing to take a placement test tomarrow for school, and am doing some sample questions for the test, and i totally cant remember how to do this among other things so i am sure you will hear from me quite a bit in the coming hours.

For positive real numbers x, y, and z, which of the following expressions is equivalent to x^(1/2)y^(2/3)z^(5/6) ?
A. 3sqrt( xy2z3)
B. 6sqrt( xy2z5)
C. 6 sqrt( x3y2z5)
D. 6 sqrt( x3y4z5)
E. 11 sqrt( xy2z5)

i am really looking for a guide/explanation and a soultion.

Get all your exponents to a common denominator of 6. Then convert to a radical. Answer is D. See solution below:

http://www.gnux.be/latex/data/2188cc...22170cb48a.png
• Jul 24th 2008, 01:14 PM
Solance
Thanks so much for the help, your explanation was superb, and just to keep you updated i did great on the test, scoreing very high in to trig, luckily the simple stuff i had forgotten never really came up.
• Jul 24th 2008, 03:48 PM
TKHunny
If you're lucky, such deficiencies will not prevent you from learning the new material or from passing. Good luck.