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

the answer was y√y

1 Answer

4 votes

Answer:


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)

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