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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-example-1
User Twyx
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1 Answer

1 vote

Answer:

180

Explanation:

The square root of the number 180 would render the simplified radical expression:
6\,√(5)

We start by factoring completely the number 180:


180=2^2\,\,3^2\,\,5\\then:\\√(180) =√(2^2\,\,3^2\,\,5) \\√(180) =√(2^2)\,\,√(3^2)\,\,√(5)\\√(180) =2\,*\,3\,√(5)\\\\sqrt{180}=6\,√(5)

User Qstack
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