Big Numbers Should not be Scary

Algebra Level 3

If A = 1 0 9 987654321 A = 10^9 - 987654321 and B = 123456789 + 1 10 B= \dfrac{123456789 + 1}{10} . What is the value of A B ? \sqrt{AB}?


Source : MIT-Harvard Mathematics Tournament 2010.
12345679 98765432 12345678 45678932

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1 solution

Hana Wehbi
Nov 5, 2016

Both A and B are equal to 12345679 12345679 , thus A B = 12345679 \sqrt{AB}= 12345679

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