Question

Sho the Great was born and died, respectively, in years that were the perfect squares of consecutive positive integers. If he died on his birthday at the age of 55, compute the year he was born?

Answer 1

Sho the Great was born in the year 4, which is the perfect square of a consecutive positive integer.

Step-by-step explanation:

To find the year Sho the Great was born, we need to determine the perfect square of a consecutive positive integer that is less than 55. We know that he died on his birthday at the age of 55, so his birth year would be the perfect square of the previous positive integer. Let's start by listing the perfect squares of consecutive positive integers:

1. 1^2 = 1
2. 2^2 = 4
3. 3^2 = 9
4. 4^2 = 16
5. 5^2 = 25

The perfect square of the consecutive positive integer that is less than 55 is 4, which represents the birth year. Therefore, Sho the Great was born in the year 4.