Answer:
3x³y √(5xy)
Step-by-step explanation:
√(3x⁴y) √(15x³y²)
Multiply the radicands. When multiplying, add the exponents (xᵃ xᵇ = xᵃ⁺ᵇ).
√(45x⁴⁺³y¹⁺²)
√(45x⁷y³)
To simplify further, we need to factor out perfect squares (anything with an even exponent).
√(3²·5 x⁶x y²y)
√(3²x⁶y²) √(5xy)
Take the square root of the perfect square (halve the exponent).
3x³y √(5xy)
