document.write( "Question 34747: What does the symbol \"i\" represent?
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document.write( "Is \"12.5555…\" a rational or irrational number? Explain.
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document.write( "Is \"2.1273685…\" a rational or irrational number? Explain.
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document.write( "Is \"548/799\" a rational or irrational number? Explain.
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document.write( "Simplify \"(5 + 3i)(5 - 3i)\". Is the result real, complex, or both? Explain. \n" );
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Algebra.Com's Answer #21011 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! SEE ANSWERS BELOW \n" ); document.write( "What does the symbol \"i\" represent? \n" ); document.write( "IN SHORT FOR YOUR PRESENT PURPOSE YOU MAY TAKE IT AS AN IMAGINARY NUMBER WHICH WHEN MULTIPLIED BY IT SELF GIVES -1....THAT IS i*i=-1.....AS YOU CAN SEE IT IS IMAGINARY SINCE NO REAL NUMBER WHEN MULTIPLIED BY ITSELF GIVES US -1. \n" ); document.write( "Is \"12.5555…\" a rational or irrational number? Explain. \n" ); document.write( "IT IS RATIONAL BECAUSE IT CAN BE WRITTEN AS 113/9...THAT IS RATIO OF 2 INTEGERS. \n" ); document.write( "Is \"2.1273685…\" a rational or irrational number? Explain. \n" ); document.write( "ASSUMING THERE IS NO PATTERN IN ITS CONTINUATION,IT IS IRRATIONAL BECAUSE IT CANNOT BE WRITTEN AS P/Q WHERE P AND Q ARE INTEGERS. \n" ); document.write( "Is \"548/799\" a rational or irrational number? Explain. \n" ); document.write( "IT IS RATIONAL BY DEFINITION BECAUSE IT IS RATIO OF 2 INTEGERS. \n" ); document.write( "Simplify \"(5 + 3i)(5 - 3i)\". Is the result real, complex, or both? Explain. \n" ); document.write( "USING (A+B)(A-B)=A^2-B^2....WE GET ANSWER AS 5^2-3^2*i^2...SINCE i^2=-1,WE GET \n" ); document.write( "ANSWER AS 25-9*(-1)=25+9 = 34..IT IS A REAL NUMBER. \n" ); document.write( " |