Respuesta :

[tex]\\ \sf\longmapsto \sqrt{108x^2y^3}-\sqrt{12x^2y^3}+x\sqrt{75y^3}[/tex]

[tex]\\ \sf\longmapsto \sqrt{2\times 2\times 3\times 3\times 3\times x\times x\times y\times y\times y}-\sqrt{2\times 2\times 3\times x\times x\times y\times y\times y}+\sqrt{5\times 5\times 3\times y\times y\times y}[/tex]

[tex]\\ \sf\longmapsto 6\sqrt{3}xy\sqrt{y}-2\sqrt{3}xy\sqrt{y}+5\sqrt{3}xy\sqrt{y}[/tex]

[tex]\\ \sf\longmapsto \sqrt{3}xy\sqrt{y}(6-2+5)[/tex]

[tex]\\ \sf\longmapsto 9\sqrt{3}xy\sqrt{y}[/tex]

mhanifa

Answer:

  • [tex]9xy\sqrt{3y}[/tex]

Step-by-step explanation:

See the steps below:

  • [tex]\sqrt{108x^2y^3} -\sqrt{12x^2y^3} +x\sqrt{75y^3} =[/tex]
  • [tex]\sqrt{36*3x^2y^2y} -\sqrt{4*3x^2y^2y} +x\sqrt{25*y^2y} =[/tex]
  • [tex]6xy\sqrt{3y} -2xy\sqrt{3y} +5xy\sqrt{3y} =[/tex]
  • [tex](6 - 2+ 5)xy\sqrt{3y} =[/tex]
  • [tex]9xy\sqrt{3y}[/tex]