K=98770902183611232881
What is the 22nd root (n) of this number
*****WITHOUT USING A CALCULATOR******
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If the number is 984 770 902 183 611 232 881
and if you are allowed to assume that the 22nd root is a whole number,
then:
-- because 1022 = 10 000 000 000 000 000 000 000, the answer must be a one-digit number
-- because the last digit is 1, the number must be either 3, 7, or 9
-- because the sum of the digits is 90, the number is divisible by 9
so: the choice must be 9.