SOLUTION: How do I simplify an expression where you add whole numbers under the square root symbol? The problem would read in words: the square root of 20 plus 20 plus 20 NOT the square roo

Algebra ->  Radicals -> SOLUTION: How do I simplify an expression where you add whole numbers under the square root symbol? The problem would read in words: the square root of 20 plus 20 plus 20 NOT the square roo      Log On


   



Question 698161: How do I simplify an expression where you add whole numbers under the square root symbol? The problem would read in words: the square root of 20 plus 20 plus 20 NOT the square root of 20 plus the square root of 20, etc.
Thank you

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


You want to simplify:



Since ,

Then, since the prime factorization of 60 is we can write:



Note that a pair of factors inside the radical becomes a single factor outside the radical.

By the way, in plain text, is written sqrt(X). Your problem here could have been written sqrt(20 + 20 + 20). Note that the parentheses are ALWAYS necessary to define the radicand.

For further information on the subject of plain text rendering of mathematical expressions, see Formatting Math as Text

John

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