We have a group of 169 students that needs to be seated in a square formation. Then, the number of rows has to be the square root of 169 :-
![r = √(169) = 13](https://img.qammunity.org/2022/formulas/mathematics/high-school/l7fwfif0rm319k9nuk9fnnlocr7pdmsu06.png)
Then, a square of 13 rows and 13 columns will fit the 169 students.
If the number of students is 1024, then the number of rows N can be calculated as :-
![{N}^(2) = 1024](https://img.qammunity.org/2022/formulas/mathematics/high-school/dmqbhqjpvbd5zply4zti16bxv5rlg84zrd.png)
![N = √(1024)](https://img.qammunity.org/2022/formulas/mathematics/high-school/5rw6mrsy9ezch7gi9rhqmixrwocregrfzk.png)
![N = 32](https://img.qammunity.org/2022/formulas/mathematics/high-school/b6udtzcbtybheuzeyecaz3wu32yrwpnjio.png)
Final Answer :-
169 students will seat in a 13×13 formation.
1024 students will seat in a 32×32 formation (N=32)
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