Question Detail
Question
If x, y > 0, Simplify √(81x⁴y⁸) · 2x
Correct Answer
Option C is the correct answer.
Detailed Explanation
√(81x⁴y⁸) = √81 · √x⁴ · √y⁸ = 9 · x² · y⁴ = 9x²y⁴. Then multiplied by 2x gives 18x³y⁴. This can be written as 9x²y⁴·2x = 9x²y⁴·2x. Not matching exactly. Option C: 9x²y²√(2x) is different. There might be a misprint.
Hint
Use properties of radicals: √(ab) = √a·√b.