Explanation:

- To solve the problem, find the smallest perfect square divisible by both 10 and 15.

- First, determine the least common multiple (LCM) of 10 and 15.

- The LCM of 10 (2 x 5) and 15 (3 x 5) is 30.

- Now, find the smallest perfect square that is a multiple of 30.

- A perfect square needs even powers of each prime.

Here’s a breakdown:

- 30 = 2 x 3 x 5

- To make a perfect square, ensure even powers:

- 2² x 3² x 5² = 900

- Option 1: 900 is indeed the smallest perfect square divisible by both numbers.

- Option 2: 360 is not a perfect square.

- Option 3: 1800 is not the smallest perfect square.

- Option 4: 1200 is not a perfect square.

- 900 is the correct answer.

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