document.write( "Question 390827: what the square root of 75 in complete form (showing how you got the answer) \n" ); document.write( "
Algebra.Com's Answer #277165 by richard1234(7193)\"\" \"About 
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75 in factored form is \"5%5E2+%2A+3\". Therefore, \"sqrt%2875%29+=+sqrt%285%5E2+%2A+3%29\". Since \"sqrt%28ab%29+=+sqrt%28a%29sqrt%28b%29\" for real numbers a,b (not complex numbers), then \"sqrt%285%5E2+%2A+3%29+=+sqrt%285%5E2%29sqrt%283%29+=+5sqrt%283%29\".\r
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\n" ); document.write( "\n" ); document.write( "It doesn't necessarily work for complex numbers because\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%28-1%29sqrt%28-1%29+=+i%2Ai+=+-1\" and if \"sqrt%28-1%29sqrt%28-1%29+=+sqrt%28%28-1%29%28-1%29%29+=+sqrt%281%29+=+1\", then -1 = 1 and we have a contradiction.
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