Evaluate \((20_{three})^2 - (11_{three})^2\) in base three
a
101
b
121
c
202
d
2020
Explanation
Correct Option
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Perfecto
9 years ago
Here is an explanation:
(2*3^1 + 0*3^0)^2 - (1*3^1 + 1*3^0)^2
(6 + 0)^2 - (3 + 1)^2
6^2 - 4^2
36 - 16 = 20 (base 10)
convert back to base three
20/3 = 6 R2
6/3 = 2 R0
2/3 = 0 R2
TAKE YOUR READING OF THE REMAINDERS FROM BELOW = 202
REF: Check number bases in New General Mathematics
