(i) Can a rectangular number also be a square number?
(ii) Can a triangular number also be a square number?

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Solution

(i) Yes, a rectangular number can also be a square number; for example, 16 is a square number and also a rectangular number.

(ii) Yes, there exists only one triangular number that is both a triangular number and a square number, and that number is 1.

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(i) Can a rectangular number also be a square number? (ii) Can a triangular number also be a square number?

(i) Yes, a rectangular number can also be a square number; for example, 16 is a square number and also a rectangular number. (ii) Yes, there exists only one triangular number that is both a triangular number and a square number, and that number is 1.

(i) Can a rectangular number also be a square number?
(ii) Can a triangular number also be a square number?

(i) Yes, a rectangular number can also be a square number; for example, 16 is a square number and also a rectangular number.

(ii) Yes, there exists only one triangular number that is both a triangular number and a square number, and that number is 1.