Question

Use Property 2 to simplify each of the following radical expressions.

sqrt (10)/ sqrt(49)

My answer: sqrt (10) / (7)


THis next one i need help:

Use the properties for radicals to simplify each of the following expressions. Assume that
all variables represent positive real numbers.

sqrt ((12x ^3)/(5))

THis is what i have so far but i'm not sure :

(sqrt (4x^2 X 3x) X sqrt(5))/(sqrt(5))

i don't know what to do next...


right on one.

Second:
sqrt( (4x^2 X 3x)/ sqrt(5))

i don't know what to do next...
bring the 4x^2 out..
2x sqrt (3x/5)

first thing I would do would be to rationalize the denominator
sqrt((12x^3)/5)
(sqrt (60x^3))/5
then I would simplify the top
(2x(sqrt(15x)))/5