Step-by-step explanation:
[tex] \sqrt{6 {x}^{5} {y}^{4} } \times \sqrt{3 {x}^{2}y } \\ \\ = \sqrt{6 {x}^{5} {y}^{4} \times 3 {x}^{2}y } \\ \\ = \sqrt{18 {x}^{7} {y}^{5} } \\ \\ = \sqrt{18 {x}^{7} {y}^{5} } \\ \\ = \sqrt{9 \times 2 \times {x}^{6} \times x \times {y}^{4} \times y } \\ \\ = 3 {x}^{3} {y}^{2} \sqrt{2xy} [/tex]
