MarloM218781 MarloM218781
  • 31-10-2022
  • Mathematics
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what is equivalent to this product below?[tex] \sqrt{9} \times \sqrt{5} \times \sqrt{2} [/tex]

what is equivalent to this product belowtex sqrt9 times sqrt5 times sqrt2 tex class=

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XyliaE56103 XyliaE56103
  • 31-10-2022

We need to simplify the product:

[tex]\sqrt{9}\times\sqrt{5}\operatorname{\times}\sqrt{2}[/tex]

Notice that:

[tex]\begin{gathered} \sqrt{9}=3 \\ \\ \text{since }3²=9 \end{gathered}[/tex]

Also, we have:

[tex]\sqrt{5}\operatorname{\times}\sqrt{2}=\sqrt{5\times2}=\sqrt{10}[/tex]

Therefore, we have:

[tex]\sqrt{9}\times\sqrt{5}\times\sqrt{2}=3\sqrt{10}[/tex]

Answer: A. 3√10

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