Question

Simplify: √ (50x^7y^6)

Answer 1

`√(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)`