Final answer:
To simplify the expression √2160x⁸/60x², simplify the square root and simplify the variables. The simplified form of √2160x⁸/60x² is 23x⁶/30.
Step-by-step explanation:
To simplify the expression √2160x⁸/60x², we can simplify the square root and simplify the variables. First, simplify the square root of 2160, which is 46. Next, simplify the variables by dividing the exponents, so x⁸ divided by x² is x^(8-2) = x⁶. The simplified form of √2160x⁸/60x² is therefore 46x⁶/60. Finally, you can further simplify this fraction by dividing both the numerator and denominator by 2, resulting in 23x⁶/30.