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

1 answer

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.