SOLUTION: Simplify completely, keep answer in radical form. sqrt(24x^8y^3)/sqrt(75x^-7y^17)

Question 1192820: Simplify completely, keep answer in radical form.
sqrt(24x^8y^3)/sqrt(75x^-7y^17)

Found 2 solutions by ankor@dixie-net.com, greenestamps:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!

Expand to show the perfect squares, reciprocal gets rid of the neg exponent

Extract the squares

Combine like terms

Answer by greenestamps(13195) (Show Source): You can put this solution on YOUR website!

There are several different paths you can take to simplify this expression. I would definitely go a different direction that the other tutor. And according to usual standards, my simplified form should not have a radical in the denominator.

(1) Change the fraction containing square roots in numerator and denominator into a single square root of a fraction:

(2) Simplify the fraction:

(3) Extract perfect squares where possible:

RELATED QUESTIONS
Simplify Completely, keep all answers and work in radical form... (answered by math_tutor2020)
Simplify. Express your answer in simplified radical form.... (answered by Edwin McCravy)
Simplify. Express your answer in simplied radical form. sqrt... (answered by jim_thompson5910)
sqrt(48x)+sqrt(75x^3) (answered by Fombitz,MathTherapy)
Find the following product and express answer in simplest radical form. All variables... (answered by fractalier)
Simplify the expression. Leave your answer in simplest radical form.... (answered by stanbon)
simplify. leave in radical form 3 divided by the difference of 5 and sqrt of... (answered by longjonsilver)
simplify the radical expression - sqrt 75x^4y^6z^8 thank... (answered by stanbon)
Express the following expression in simplest radical form. All variables represent... (answered by fractalier)