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# Order of Operations

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Please show order of operations in the following equation. Also, what is the final answer? Thank you:

ln{[(5280×(236674+30303× sqrt(61)))³ +744]² - 393768} ÷ sqrt(1708) =?

Feb 19, 2018
edited by Guest  Feb 19, 2018
edited by Guest  Feb 19, 2018

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ln{[(5280×(236674+30303× sqrt(61)))³ +744]² - 393768} ÷ sqrt(1708) =?

ln{[(5280 x(236674+30303 x 7.810...))^3+744]^2-393768} / 41.32795... =

ln{[(5280 x (236674 + 236,673.995...))^3 +744]^2-393768} / 41.32795...=

ln{[(5280 x (473,347.995....)^3 + 744]^2 - 393768} / 41.32795 =

ln{[(2,499,277,418.505)^3 + 744]^2 - 393768} / 41.32795...=

ln{[15,611,455,512,523,783,919,812,598,068.719 + 744]^2 - 393768} / 41.32795....=

ln{[15,611,455,512,523,783,919,812,598,812.719]^2 -393768} /41.32795 =

ln{[243 717 543 219 509 240 868 385 073 078 387 627 457 317 726 561 954 328 436.172961]-393768} / 41.32795.....=

ln{243 717 543 219 509 240 868 385 073 078 387 627 457 317 726 561 954 328 436.172961} / 41.32795....=

129.8356049666 6784708192 4400512611....../ 41.32795 =

=3.141592653589793238462643383279502884197169399375105820974944592307816406286208..........!!!!!!!!!!

The answer is Pi accurate to 78 decimal places!!!!!!!!!!!!!!!!!!.

Note: I carried all computations to 100 decimal places where necessary!!.

Feb 19, 2018