lizbethestrada232 lizbethestrada232
  • 14-06-2022
  • Mathematics
contestada

What is the following product?

StartRoot 12 EndRoot times StartRoot 18 EndRoot

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 18-06-2022

Answer:

  6√6

Step-by-step explanation:

The product of roots is the root of the product. Here, each root can be simplified by factoring out perfect squares.

__

  [tex]\sqrt{12}\times\sqrt{18}=\sqrt{2^2\cdot3}\times\sqrt{3^2\cdot2}=2\sqrt{3}\times3\sqrt{2}\\\\=(2\cdot3)\sqrt{3\cdot2}=\boxed{6\sqrt{6}}[/tex]

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