Question

How do you do this? show work please.

Answer 1

Answer:

  B.  8xy²√(2x) cm

Step-by-step explanation:

First of all, you need to know the area of a square is the square of its side length.

   A = s²

Then the side length is the square root of the area.

  √A = s

You are given the area and asked for the side length, so you need to take the square root of the given expression. To put the result in simplest form, you need to remove all the squares from under the radical.

$s=\sqrt{128x^3y^4\, cm^2}=\sqrt{(8xy^2\, cm)^2\cdot 2x}=8xy^2\sqrt{2x}\, cm$