Question

Which choice is equivalent to the expression below when y≥0? √y^3+✓4y^3-2y√y

the answer was y√y

Answer 1

`y √(y)`

Explanation:

The given expresion is

`\sqrt{ {y}^(3) } + \sqrt{4 {y}^(3) } - 2y √(y)`

We need to simplify the first two terms by removing the perfect squares under the radical sign.

`\sqrt{ {y}^(2) * y} + \sqrt{4 {y}^(2) * y } - 2y √(y)`

`y √(y) + 2y √(y) - 2y √(y)`

The last two terms zero pairs, they will simplify to zero.

`y √(y) + 0`

The final answer is

`y √(y)`