document.write( "Question 1192841: What is the approximate value of \"+3%5Esqrt%28999%29+\"? \n" ); document.write( "
Algebra.Com's Answer #824764 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "That's not too big to just punch into a scientific or graphing\r\n" );
document.write( "calculator.  You get the answer immediately as\r\n" );
document.write( "1.203242085 x 1015\r\n" );
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document.write( "That's no fun.\r\n" );
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document.write( "Your teacher should have given you one that will overflow any\r\n" );
document.write( "calculator's capacity.  Like putting a couple more 9's under\r\n" );
document.write( "that square root to make it too big for calculators:\r\n" );
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document.write( "\"matrix%282%2C1%2C%22%22%2C3%5Esqrt%2899999%29%29+\"\r\n" );
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document.write( "You can't punch that on a calculator.  It'll overflow.\r\n" );
document.write( "So you'll have to use logarithms.  Set x equal to the quantity\r\n" );
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document.write( "\"x\"\"%22%22=%22%22%29\"\"matrix%282%2C1%2C%22%22%2C3%5Esqrt%2899999%29%29+\"\r\n" );
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document.write( "Use your calculator to get the exponent \"sqrt%2899999%29=316.2261849\"\r\n" );
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document.write( "\"x\"\"%22%22=%22%22%29\"\"matrix%282%2C1%2C%22%22%2C3%5E316.2261849%29\"\r\n" );
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document.write( "Take the log (base 10) of both sides:\r\n" );
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document.write( "\"log%28%28x%29%29\"\"%22%22=%22%22\"\"matrix%282%2C1%2C%22%22%2Clog%28%283%5E316.2261849%29%29%29\"\r\n" );
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document.write( "\"log%28%28x%29%29\"\"%22%22=%22%22\"\"316.2261849%2Alog%28%283%29%29\"\r\n" );
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document.write( "Use your calculator to get the right side:\r\n" );
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document.write( "\"log%28%28x%29%29\"\"%22%22=%22%22\"\"150.8782341\"\r\n" );
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document.write( "Raise 10 to both sides' power:\r\n" );
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document.write( "\"10%5Elog%28%28x%29%29\"\"%22%22=%22%22\"\"10%5E150.8782341\"\r\n" );
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document.write( "The left side is just x.  The right side is too big for \r\n" );
document.write( "calculators, so split the exponent into an integer and\r\n" );
document.write( "a decimal\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"10%5E%28150%2B0.8782341%29\"\r\n" );
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document.write( "Write the right side as the product of powers of 10\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"10%5E150%2A10%5E0.8782341%29\"\r\n" );
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document.write( "Next use your calculator to get \"10%5E0.8782341=7.554993627\"\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"10%5E150%2A7.554993627%29\"\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"7.554993627%2A10%5E150%29\"\r\n" );
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document.write( "That's the answer in scientific notation to the problem\r\n" );
document.write( "I made up.  But that's the way to do them if they're too\r\n" );
document.write( "big for a calculator.\r\n" );
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document.write( "Edwin
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