Simplify 162x3y2−−−−−−−√ . assume x and y are nonnegative.

Given expression:

In order to simplify given radical expression, let us convert it in three factors of radicals.

In order to simplify first part sqrt(162), we need to factor out greatest number that would be a perfect square.

162 = 81 * 2.

Therefore,

We know, square root of 81 is 9.

Therefore, we can factor out 9 outside the radical.

Let us simplify sqrt(x^3) now.

   Each pair of a factor of a variable or number inside square root get a factor out.

Let us combine the solution:

Therefore, final answer is .

step-by-step explanation:

mean or average is 40.6