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

Compute: 3√10 (y^2√4 + √(8y))
= 3√10 (2y^2 + √(8y)) since √4 = 2
= 6y^2√10 + 3√(80y)
= 6y^2√10 + 12√(5y).

So the product is 6y^2√10 + 12√(5y) (y ≥ 0).