Question

Which expression is equivalent to ? Assume

Answer 1

√8x^7y^8
= 2x^3y^4 √2x

answer is C. third choice

Answer 2

we have

$\sqrt{8x^{7}y^{8}}= ({8x^{7}y^{8}})^{\frac{1}{2}}=(2^{3})^{\frac{1}{2}} (x^{7})^{\frac{1}{2}} (y^{8})^{\frac{1}{2}}\\=(2x^{3}y^{4})(2x)^{\frac{1}{2}}=(2x^{3}y^{4})\sqrt{2x}$

therefore

the answer is the option

$(2x^{3}y^{4})\sqrt{2x}$