document.write( "Question 242564: Add. Simplify by collecting like radical terms, if possible.
\n" ); document.write( "2Sqroot50 + 8Sqroot2.
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Algebra.Com's Answer #177573 by College Student(505)\"\" \"About 
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Problem: \"2sqrt%2850%29%2B8sqrt%282%29\"
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\n" ); document.write( "Let's make the first term have the same square root as the second so we can then add the terms. Here's how to do it:
\n" ); document.write( "Let's take a look at the square root of 50 and square root of 2. Can we divide 50 by 2? Yes, it's 25.
\n" ); document.write( "Therefore, we can say \"sqrt%2850%29\" = \"sqrt%2825%2A2%29\"
\n" ); document.write( "We can further say that \"sqrt%2825%2A2%29\" = \"sqrt%2825%29%2Asqrt%282%29\".
\n" ); document.write( "Therefore, we can change the original expression to:
\n" ); document.write( "\"2%28sqrt%2825%29%2Asqrt%282%29%29%2B8sqrt%282%29\"
\n" ); document.write( "Now, does 25 have a square root? Yes, it's 5. So we get:
\n" ); document.write( "\"%282%2A5%29sqrt%282%29%2B8sqrt%282%29\"
\n" ); document.write( "\"10sqrt%282%29%2B8sqrt%282%29\"
\n" ); document.write( "\"18sqrt%282%29\" <--- this is our final expression.
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