To rationalize the denominator, we need to multiply the numerator and denominator by the square root of 3x:
(9x^4 / sqrt 3x) * (sqrt 3x / sqrt 3x) = 9x^4 * sqrt 3x / 3x
= 9x^4 * sqrt 3 / 3
= 3x^4 * sqrt 3
Therefore, the simplified and rationalized form of the expression is 3x^4 * sqrt 3.
divide and simplify if possible
Sqrt 81x^8 / sqrt 3x = 9x^4 / sqrt 3x is correct but now you need to rationalize the denominator to finish simplifying
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