Henry Ernest Dudeney/Puzzles and Curious Problems/125 - Accommodating Squares

Puzzles and Curious Problems by Henry Ernest Dudeney: $125$

Accommodating Squares

Can you find two three-digit square numbers (no noughts) that, when put together, will form a six-digit square number?

Thus, $324$ and $900$ (the squares of $18$ and $30$) make $324 \, 900$, the square of $570$, only there it happens there are two noughts.

There is only one answer.

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Various Arithmetical and Algebraical Problems: $125$. -- Accommodating Squares
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Miscellaneous Puzzles: $198$. Accommodating Squares