Question

texascollegebridge
study paths tx math bridge - stage 2 topic test: squares,
squares, cub
topic: squares, cubes, and beyond
progress:
the movement of the progress bar may be uneven because questions can be worth more or less
simplify: \\(\sqrt{48x^2y^3}\\)
\\(4|xy|\sqrt{y}\\)
\\(4xy\sqrt{3y}\\)
\\(4xy\sqrt{3}\\)
\\(4|xy|\sqrt{3y}\\)
5:47
clear

Explanation:

Step1: Factor the radicand

$\sqrt{48x^2y^3} = \sqrt{16 \times 3 \times x^2 \times y^2 \times y}$

Step2: Extract perfect squares

$\sqrt{16x^2y^2} \times \sqrt{3y} = 4|x||y|\sqrt{3y} = 4|xy|\sqrt{3y}$

Answer:

4|xy|√(3y)