Math Question
![What is the following product? Assume \( x \geq 0 \) and \( y \geq 0 \).
\[
\sqrt{5 x^{8} y^{2}} \cdot \sqrt{10 x^{3}} \cdot \sqrt{12 y}
\]
\( 3 x^{5} y \sqrt{3 x y} \)
\( 10 x^{5} y \sqrt{6 x y} \)
\( 3 x^{3} y \sqrt{3 x^{2} y^{2}} \)
\( 10 x^{3} y \sqrt{6 x^{2} y^{2}} \)](https://d3hlidq5bf9vg0.cloudfront.net/app-server-student/2022/4/7/c4f65a3c-7af5-4204-9b16-1e46b70c6d36.png "What is the following product? Assume \( x \geq 0 \) and \( y \geq 0 \).
\[
\sqrt{5 x^{8} y^{2}} \cdot \sqrt{10 x^{3}} \cdot \sqrt{12 y}
\]
\( 3 x^{5} y \sqrt{3 x y} \)
\( 10 x^{5} y \sqrt{6 x y} \)
\( 3 x^{3} y \sqrt{3 x^{2} y^{2}} \)
\( 10 x^{3} y \sqrt{6 x^{2} y^{2}} \)")
Solution
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