Break down square root: First, let's break down the square root into prime factors. 128 can be factored into 27, and since we have x5 and y5, we can pair the x's and y's inside the square root.
Rewrite expression: Now, we can rewrite the expression as 227×x5×y5.
Take out pairs: We know that a2=a, so we can take out pairs of 2's, x's, and y's from under the square root.We have 23 pairs of 2's, 2 pairs of x's, and 2 pairs of y's, with one 2, one x, and one y left inside the square root.
Simplify expression: Taking out the pairs, we get 2×23×x2×y2×2xy. This simplifies to 16x2y22xy.
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