sleepystudent
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  • 28-08-2020
  • Mathematics
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Which expression is equivalent to √ 24 ⋅ √ 2 in simplest form?

Respuesta :

jimrgrant1 jimrgrant1
  • 28-08-2020

Answer:

4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Given

[tex]\sqrt{24}[/tex] × [tex]\sqrt{2}[/tex]

= [tex]\sqrt{48}[/tex]

= [tex]\sqrt{16(3)}[/tex]

= [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex]

= 4[tex]\sqrt{3}[/tex]

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