### Instruction: If the square root of the length of the hypotenuse of a right triangle is 2 units, what is the sum of the squares of the length of the two other sides?### Response: The Pythagorean theorem states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the length of the two other sides.
Let a and b be the lengths of the two other sides, and c be the length of the hypotenuse.
Then, by the Pythagorean theorem, c^2 = a^2 + b^2.
The problem gives us that the square root of c is 2 units, so c = 2^2 = 4 units.
Substituting c = 4 into the equation c^2 = a^2 + b^2, we get 4^2 = a^2 + b^2.
Simplifying, we get 16 = a^2 + b^2.
Therefore, the sum of the squares of the length of the two other sides is 16.