show all the steps it took to get your answer.
divide and simplify if possible
sqrt 81x^8 / sqrt 3x
sqrt 81x^8 / sqrt 3x
First, separate the square roots:
= sqrt(81x^8) / sqrt(3x)
Next, simplify the square root of 81x^8 by breaking it down into its factors. Since 81 = 9 * 9 and x^8 = x^4 * x^4, we can write:
= sqrt(9 * 9 * x^4 * x^4) / sqrt(3x)
Then, simplify the square root expression by taking out the perfect squares:
= (9x^4) / sqrt(3x)
Finally, rewrite the simplified expression:
= 3x^4 / sqrt(3x)