What is the simplest form of the expression ? `(sqrt(6x^8y^9))/(sqrt(5x^2y^4))`
Combine the radical expressions into one single expression.
Remove the common factor of `x^2y^4` from both the numerator and denominator.
Pull out the perfect square roots from beneath the radical. `x^3y^2` is a perfect square.
`x^3y^2 * sqrt((6y)/(5))`
Now split the fraction under the radical into separate radical expressions.
In order to rationalize the denominator, the fraction must be rewritten. The factor to multiply by must be an expression that will remove the radical from the denominator.
`x^3y^2* (sqrt(6y)/sqrt5) * ((sqrt5)/(sqrt5))`
Multiply `sqrt5 by sqrt5` to get 5.
Simplify the rationalized expression.
The solution is: