turkey-yks 2023 Q4

turkey-yks · Other · yks-tyt Indices and Surds Number-Theoretic Reasoning with Indices
Let $A$ and $B$ be natural numbers. A square with side length $A\sqrt{B}$ units has an area of 720 square units.
Accordingly, which of the following cannot be the sum $A + B$?
A) 26 B) 49 C) 83 D) 127 E) 182
Let $A$ and $B$ be natural numbers. A square with side length $A\sqrt{B}$ units has an area of 720 square units.

Accordingly, which of the following cannot be the sum $A + B$?

A) 26
B) 49
C) 83
D) 127
E) 182