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# Digits after the decimal point.

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What are the first 10 digits after the decimal point in the expansion of this expression: [(sqrt (3) + sqrt(2)]^2002 ?. Thank you.

Jan 5, 2023

#1
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Using a calculator, I got  .... 9.9998575128 are the ten digits after the decimal point.

Jan 5, 2023
#2
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Sorry, that is not correct. But thanks.

Guest Jan 5, 2023
#3
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$$[(\sqrt (3) + \sqrt(2)]^{2002}$$

alright so the first ten digits of the decimal expansion.

just plug it in to a calc and u should be able to get it

Jan 5, 2023
#4
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No, NOT the FIRST 10 digits, but the first 10 digits AFTER THE DECINAL POINT !!.

Guest Jan 5, 2023
#5
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(sqrt(2)  +  sqrt(3))^2002 =3854913 6553434375 7852540977........... 4542810952 6835265508 6915760009.9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999997405 908

So, the first 10 digits after the decimal point are:9,999,999,999

Jan 6, 2023