Respuesta :

mhanifa

Answer:

  • [tex]12\sqrt{6}[/tex]

Step-by-step explanation:

Given expression

  • [tex]2 \sqrt{3} *3\sqrt{8}[/tex]

Simplify the expression in steps as below

  • [tex]2 \sqrt{3} *3\sqrt{8} =[/tex]
  • [tex]2 \sqrt{3} *3\sqrt{2^2*2} =[/tex]
  • [tex]2 \sqrt{3} *3*2\sqrt{2} =[/tex]
  • [tex]2*6* \sqrt{3} *\sqrt{2} =[/tex]
  • [tex]12* \sqrt{3*2} =[/tex]
  • [tex]12\sqrt{6}[/tex]

Used properties in solution process:

  • [tex]\sqrt{a^2} =a[/tex]
  • [tex]\sqrt{a}\sqrt{b} =\sqrt{ab}[/tex]
Hi1315

Answer:

12√6

Step-by-step explanation:

⇒ 2√3 × 3√8

⇒ 2 × 3 × √3 × √8

⇒ 6 × √( 3 × 8 )

⇒ 6 × √24

⇒ 6 × 2√6

12√6

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