Rationalize the denominator. Assume that all variables are positive.
5x^4y/2x^2y^3
There are square root signs around both parts of the fraction, but I cannot make them on the computer. Thanks in advance.
are u using the carrot symbols to mean to the power of...?
Yes
Come on, please, someone help me.
Help doesn't come to those with such demanding attitudes as that which you are publicly and disgracefully displaying!!!!
I was not at all demanding; I was desperate.
Desperate in a demanding manner.
Apologies for the confusion earlier. Let's proceed with rationalizing the denominator of the given expression:
To rationalize the denominator, we need to eliminate any radicals (square root signs) in the denominator. In this case, we have the variable y raised to the power of 3 in the denominator.
To eliminate the square root, we can multiply the numerator and denominator by the square root of y squared, which will cancel out the square root in the denominator:
(5x^4y/2x^2y^3) * (√y^2/√y^2)
Simplifying this expression, we have:
(5x^4y * √y^2) / (2x^2y^3 * √y^2)
Now, we can simplify further by performing the multiplication:
(5x^4y * y) / (2x^2y^3 * y)
= (5x^4y^2) / (2x^2y^4)
The denominator is now rationalized, as it no longer contains any square roots.