Simplify the radical expression √22x·3√9x Show all work and steps.

Answer 1

To simplify the radical expression √22x·3√9x, first we simplify the radicals:

√22x = √(2*11*x) = √2*√11*√x = √2√11√x = √2√11x

3√9x = 3√(3*3*x) = 3*3√x = 9√x

Now, we multiply the simplified radicals:

(√2√11x)(9√x) = 9√2√11x√x = 9√(2*11*x*x) = 9√(22x^2)

Therefore, the simplified radical expression is 9√(22x^2).