document.write( "Question 38515: Simplify the following radical expressions. Show all work!
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Algebra.Com's Answer #24023 by Alwayscheerful(414)\"\" \"About 
You can put this solution on YOUR website!
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • Graphical form: \"%28sqrt%287%2B5%29%29%5E2\" simplifies to \"12\"
  • Text form: (sqrt(7+5))^2 simplifies to 12
  • Cartoon (animation) form: \"simplify_cartoon%28+%28sqrt%287%2B5%29%29%5E2+%29\"
    For tutors: simplify_cartoon( (sqrt(7+5))^2 )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"%28sqrt%28highlight_red%28+7+%29%2Bhighlight_red%28+5+%29%29%29%5E2\".
Added fractions or integers together
It becomes \"%28sqrt%28highlight_green%28+12+%29%29%29%5E2\".
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Look at \"highlight_red%28+%28sqrt%2812%29%29+%29%5Ehighlight_red%28+2+%29\".
Replace constants in factor: \"highlight_red%28+%28sqrt%2812%29%29+%29\",\"highlight_red%28+2+%29\" with \"highlight_green%28+12+%29\"
It becomes \"highlight_green%28+12+%29\".
Result: \"12\"
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Universal Simplifier and Solver

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Done!

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