KullenH450769 KullenH450769
  • 26-10-2022
  • Mathematics
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The product of [tex] \sqrt{6} [/tex]and 10[tex] \sqrt{12} [/tex]in simplest radical form

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VasilisaE740952 VasilisaE740952
  • 26-10-2022

The product of the next expression in the simplest radical form is:

[tex]\sqrt{6}\cdot10\cdot\sqrt{12}=\sqrt{6}\cdot10\cdot\sqrt{2^2\cdot3}=\sqrt{6}\cdot10\cdot2\cdot\sqrt{3}[/tex]

Then

[tex]\sqrt{6}\cdot20\cdot\sqrt{3}=20\cdot\sqrt{6\cdot3}=20\cdot\sqrt{3^2\cdot2}=20\cdot3\cdot\sqrt{2}=60\cdot\sqrt{2}[/tex]

Then, in the simplest radical form, the given expression can be rewritten as:

[tex]\sqrt{6}\cdot10\cdot\sqrt{12}=60\cdot\sqrt{2}[/tex]

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