Question

Please help!

What is the simplest form of the expression?
√6x^8y^9 / √5x^2y^4

A. x^3y^2 √30y / 5
B. √30x^10y^13 / 5x^2y^4
C. 5x^3y^2 √30y
D. none of these

Answer 1

Clarification: is this what your expression actually looks like?
\[\frac{ \sqrt{6x ^{8}y ^{9}} }{ \sqrt{5x ^{2}y ^{4}} }\]

Answer 2

Ye. @Cardinal_Carlo

Answer 3

i think c im not sure yet

Answer 4

Okay, so in that case, we first merge both rooted expressions:
\[\sqrt{\frac{ 6x ^{8}y ^{9} }{ 5x ^{2}y ^{4} }}\]
then we simplify:
\[\sqrt{(\frac{ 6 }{ 5 }) x ^{6}y ^{5}}\]
\[x ^{3}y ^{2}\sqrt{(\frac{ 6 }{ 5 })y}\]
And since the answer is not up there, it's D none of these.

Answer 5

Please help? @Cardinal_Carlo

Answer 6

Nevermind! Thank you so much :) :)

Answer 7

You're welcome