document.write( "Question 287577: What is the square root of 5 on the outside of the check mark and 18 inside the check mark? \n" ); document.write( "
Algebra.Com's Answer #208372 by PRMath(133)\"\" \"About 
You can put this solution on YOUR website!
What is the square root of 5 on the outside of the check mark and 18 inside the check mark?\r
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\n" ); document.write( "\n" ); document.write( "(I love the description of the square root sign as a check mark. That was a great description and let me know immediately what the problem should look like). :-) Excellent. :-)\r
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\n" ); document.write( "\n" ); document.write( "So ok... here is your problem: \"5sqrt%2818%29\"\r
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\n" ); document.write( "\n" ); document.write( "Think of the various ways you can reach 18 through multiplication. There is:\r
\n" ); document.write( "\n" ); document.write( "\"1%2A18\"
\n" ); document.write( "\"3%2A6\"
\n" ); document.write( "\"2%2A9\"\r
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\n" ); document.write( "\n" ); document.write( "Let's look at that \"2%2A9\" choice. In that situation, you can take the square root of 9, right? In other words, you know what this is: \"sqrt%289%29\". This answer to \"sqrt%289%29\" is 3. Keep that in your mind now and look at your problem this way:\r
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\n" ); document.write( "\n" ); document.write( "\"5sqrt%2818%29\" <----This can be rewritten as:
\n" ); document.write( "\"5sqrt%282%2A9%29\" \r
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\n" ); document.write( "\n" ); document.write( "Now... let's take the square root of 9, which is 3, k? We can \"pull\" that 3 out of the square root sign and we'll leave the 2 on the inside of the square root sign -- inside the check mark, like this:\r
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\n" ); document.write( "\n" ); document.write( "\"5sqrt%282%29\" BUT don't forget the 3 that you got from the \"sqrt%289%29\". You have to multiply that 3 times the 5 that was already sitting outside the sign.\r
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\n" ); document.write( "\n" ); document.write( "\"5+%2A+3+=+15\" soooo we write the problem as: \"15sqrt%282%29\"\r
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\n" ); document.write( "\n" ); document.write( "So... here it is so you can see it all together:\r
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\n" ); document.write( "\n" ); document.write( "\"5sqrt%2818%29\"
\n" ); document.write( "\"5sqrt%282%2A9%29\"
\n" ); document.write( "\"%285%2A3%29sqrt%282%29\"
\n" ); document.write( "\"15sqrt%282%29\"\r
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\n" ); document.write( "\n" ); document.write( "I hope this helps. :-)
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