ryyyperdue ryyyperdue
  • 15-06-2020
  • Mathematics
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PLEASE HELP!
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FILL IN THE BLANK TO THE RIGHT TO CREATE THE RADICAL THAT WOULD SIMPLIFY TO THE RADICAL INDICATED.

PLEASE HELP FILL IN THE BLANK TO THE RIGHT TO CREATE THE RADICAL THAT WOULD SIMPLIFY TO THE RADICAL INDICATED class=

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mberisso
mberisso mberisso
  • 15-06-2020

Answer:

180

Step-by-step explanation:

The square root of the number 180 would render the simplified radical expression: [tex]6\,\sqrt{5}[/tex]

We start by factoring completely the number 180:

[tex]180=2^2\,\,3^2\,\,5\\then:\\\sqrt{180} =\sqrt{2^2\,\,3^2\,\,5} \\\sqrt{180} =\sqrt{2^2}\,\,\sqrt{3^2}\,\,\sqrt{5}\\\sqrt{180} =2\,*\,3\,\sqrt{5}\\\\sqrt{180}=6\,\sqrt{5}[/tex]

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