document.write( "Question 30186: hi,
\n" ); document.write( "i need help on simplifying radical expressions with sqaure roots. They're are three different types of problems on my homework and i dont know how to solve them. I'm wondering if they are solved the same way and how to solve them...some examples on my homework are.... \"+sqrt%28+20+%29+\".... \"+sqrt%28+125a+%29+\"....and \"+sqrt%28+3x+to+the+second+power%2B30xy%2B75y+to+the+second+power+%29+\"...it will be very appreciated if you help me...thanks
\n" ); document.write( "-kelsey larue
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Algebra.Com's Answer #16874 by Cintchr(481)\"\" \"About 
You can put this solution on YOUR website!
Since we are working square roots, work to the prime factors an pull them out 2 at a time
\n" ); document.write( "\"+sqrt%28+20+%29+\" or \"+2%2A2%2A5++\" or \"+%282%29sqrt%285%29+\"
\n" ); document.write( "\"+sqrt%28+125a+%29+\" or \"+5%2A5%2A5%2Aa+\" or \"+%285%29+sqrt%285a%29+\"
\n" ); document.write( "since this next one is a trinomial ... we need to work that part first.
\n" ); document.write( "\"+sqrt%28+3x%5E2+%2B+30xy+%2B+75y%5E2+%29+\" factor the trinomial
\n" ); document.write( "\"+3x%5E2+%2B+30xy+%2B+75y%5E2+\" factor out a 3
\n" ); document.write( "\"+3%28x%5E2+%2B10xy+%2B25y%5E2%29+\" the new trinomial is still factorable and is in fact a perfect square
\n" ); document.write( "\"+3%28x%2B5%29%28x%2B5%29+\" place it back in the root
\n" ); document.write( "\"+sqrt%28+3%28x%2B5%29%28x%2B5%29+%29+\" take out a pair
\n" ); document.write( "\"+%28x%2B5%29sqrt%28+3+%29+\"
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