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Simplify: √ (50x^7y^6)

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√(50x^7y^6) = 50^{(1)/(2)} (x^7)^{(1)/(2)} (y^6)^{(1)/(2)} = 50^{(1)/(2)}x^3 x^{(1)/(2)}y^3 = 5(2)^{(1)/(2)}x^3x^{(1)/(2)}y^3


5(2)^{(1)/(2)}x^3x^{(1)/(2)}y^3 = 5x^3y^3 √(2x)

Your answer is
5x^3y^3 √(2x)
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