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

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) (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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My calculator said it, I believe it, that settles it

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