maddy3lizabeth
maddy3lizabeth maddy3lizabeth
  • 10-01-2019
  • Mathematics
contestada

Simplify.
sqrt of 5 • sqrt of 12 • sqrt of 50

A. 10 sqrt 30
B. 7 sqrt 30
C. 7 sqrt 10
D. 10 sqrt 10

Respuesta :

gmany
gmany gmany
  • 10-01-2019

[tex]\sqrt5\cdot\sqrt{12}\cdot\sqrt{50}=\sqrt5\cdot\sqrt{4\cdot3}\cdot\sqrt{25\cdot2}=\sqrt5\cdot\sqrt4\cdot\sqrt3\cdot\sqrt{25}\cdot\sqrt2\\\\=\sqrt5\cdot2\cdot\sqrt3\cdot5\cdot\sqrt2=(2\cdot5)\sqrt{5\cdot3\cdot2}=\boxed{10\sqrt{30}}\to\boxed{A.}\\\\Used\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}[/tex]

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