Answered

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What is the product of 8V 5 and 5/10 in simplest radical form?

Sagot :

Given the numbers:

[tex]8\sqrt[]{5},5\sqrt[]{10}[/tex]

The product of the numbers will be:

[tex]\begin{gathered} 8\sqrt[]{5}\times5\sqrt[]{10}=8\times5\sqrt[]{5\times10}=40\sqrt[]{50} \\ \\ 50=25\times2=5^2\times2 \\ \\ 40\sqrt[]{50}=40\sqrt[]{5^2\times2}=40\times5\sqrt[]{2}=200\sqrt[]{2} \end{gathered}[/tex]

So, the answer will be:

[tex]200\sqrt[]{2}[/tex]

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