perform the operations and sikmplify sqrt15x^6/sqrt5x^5xsqrt3x^3
First, simplify the expression under the square root sign:
sqrt(15x^6) = sqrt(3 * 5 * x^3 * x^3) = sqrt(3) * sqrt(5) * x^3 = xsqrt(15)
Now, simplify the expression in the denominator:
sqrt(5x^5) * sqrt(3x^3) = sqrt(5) * x^2 * sqrt(3)
Putting it all together:
xsqrt(15) / (sqrt(5) * x^2 * sqrt(3)) = xsqrt(15) / (sqrt(5) * x^2 * sqrt(3))
Since both the numerator and the denominator contain terms under the square root sign, we cannot further simplify the expression. So, the final answer is xsqrt(15) / (sqrt(5) * x^2 * sqrt(3)).