Question

Which expression is equivalent to ? Assume

Answer 1

we have

`\sqrt{8x^(7)y^(8)}= ({8x^(7)y^(8)})^{(1)/(2)}=(2^(3))^{(1)/(2)} (x^(7))^{(1)/(2)} (y^(8))^{(1)/(2)}\\=(2x^(3)y^(4))(2x)^{(1)/(2)}=(2x^(3)y^(4))√(2x)`

therefore

the answer is the option

`(2x^(3)y^(4))√(2x)`