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# A dandy calculation.....

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Please give step by step calculation of the following equation so that I can understand the steps used to solve it:  ln{[(5280×(236674+30303×√61))³ +744]² − 393768} ÷ sqrt(1,708)=?.

I thank you in advance.

Guest Mar 12, 2017
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Take the sqrt(61) =7.8102496759 0665439412 9722735759 1014135683 0513664856 3300177243 7601907855 8893672705 4425433052 2670048951(to 100 digits).

Multiply above by 30303 =236673.9959289993 4810531298 8061708050 1353603505 5586141368 5271017665 0613757015 4963993025 3897782847 0493386668 6223684159.

Add 236674 to the above =473347.9959289993 4810531298 8061708050 1353603505 5586141368 5271017665 0613757015 4963993025 3897782847 0493386668.

Multiply the above by 5280 =2499277418.5051165579 9605257696 5818504714 7026509349 4826425823 0973271524 0637041820 9883174058 0293432420.

Cube, or raise the above to 3rd power=156114555 1252378391 9812598068.7186983787 8374130089 8229221271 2637186582 3589650418 6447664026 4439915924 7393505601 7559044959 1544974107 6859633212 9572643160.

Add 744 to the above number=156114555 1252378391 9812598812.7186983787 8374130089 8229221271 2637186582 3589650418 6447664026 4439915924 7393505601 7559044959 1544974107 6859633212 9572643160.

Square the above number=2437175 4321950924 0868385073 0783782099 6491921456 9047849441.1312564307 7787869092 1747588489 5514494719 4571411750 0229069998 8419589220 6121624348 0042444781 1009585103 3451961742 4122773656 0754798461 3392739658 8386920165 0482448899.

Subtract 393,768 from above number=2437175 4321950924 0868385073 0783782099 6491921456 9047455673.1312564307 7787869092 1747588489 5514494719 4571411750 0229069998 8419589220 6121624348 0042444781 1009585103 3451961742 4122773656 0754798461 3392739658 8386920165 0482448899.

Take the natural log of above number(ln) =129.8356049666 6784708192 4400512611 6616356641 6106993470 9546480297 0364691479 3223425982 5581101093 2465478501 4315143847 7685066047 5438764771 2898989323.

Take the sqrt of 1,708 =41.3279566395 4364923084 8977003469 5728150300 6462817223 7407777424 9546452395 5084722004 4205397250 9787715983 4849472888 7317786919.

Divide the above ln(129.835...) by the above sqrt=3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620872 5247070997 5092548851.

AS YOU CAN SEE, THE RESULT IS Pi ACCURATE TO 78 DECIMAL PLACES!! BRAVO!!.

Guest Mar 12, 2017