What is the answer if 202^2 base3 - 112^2 base3?

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Isorfir asked May 11, 2022

379,869 views

8 votes

What is the answer if 202^2 base3 - 112^2 base3?

Mathematics
high-school

Isorfir asked May 11, 2022

by Isorfir

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1 Answer

28 votes

Answer:

Hello,

answer is 204 in base 10 or 21120 in base 3

Explanation:

$((202)_3)^2=(202*202)_3=(112211)_3\\\\((112)_3)^2=(112*112)_3=(21021)_3\\\\(112211-21021)_3=(211120)_3=(204)_(10)\\\\\\\\\\Other\ way\\\\((202)_3)^2=((20)_(10))^2=(400)_(10)\\\\((112)_3)^2=((14)_(10))^2=(196)_(10)\\\\(400-196)_(10)=(204)_(10)=(21120)_3$