Question

What is the following product? Assume y greater-than-or-equal-to 0 3 StartRoot 10 EndRoot (y squared StartRoot 4 EndRoot StartRoot 8 y EndRoot) 6 y squared StartRoot 10 EndRoot 12 StartRoot 5 y EndRoot 6 StartRoot 10 EndRoot 12 StartRoot 5 y EndRoot 6 y squared StartRoot 10 EndRoot 4 StartRoot 5 y EndRoot 3 y squared StartRoot 10 EndRoot 12 StartRoot 5 y EndRoot.

Answer 1

The product of the given function is $12y^2(2\sqrt{5y} )$

Given the following radical function expressed as:

• $3\sqrt{10}(y^2\sqrt{4}\sqrt{8y} )$

This can be further simplified as:

$=3\sqrt{10}(y^2\sqrt{4}\sqrt{8y} ) \\=3\sqrt{10}(2y^2\cdot 2\sqrt{2}y \\= 3\sqrt{10}(4y^2 \sqrt{2y} )$

Multiply the radical functions to have:

$=12y^2{\sqrt{20y} \\=12y^2(2\sqrt{5y} )$

Hence the product of the given function is $12y^2(2\sqrt{5y} )$

Learn more on radical functions here: https://brainly.com/question/8952483