The smallest non-palindromic number whose square is a palindrome?

The smallest non-palindromic number whose square is a palindrome?

That would be 26 where 26^2 = 676.

To find the smallest non-palindromic number whose square is a palindrome, we can follow these steps:

Step 1: Start with the number 11.
Step 2: Square the number 11, which gives 121.
Step 3: Check if the squared number is a palindrome:

- 121 is a palindrome.

Step 4: Since the number is a palindrome, we move to the next number.
Step 5: Increase the number by 1 to get 12.
Step 6: Square the number 12, which gives 144.
Step 7: Check if the squared number is a palindrome:

- 144 is a palindrome.

Step 8: Repeat this process by incrementing the number until we find a non-palindromic square.
Step 9: Increase the number by 1 to get 13.
Step 10: Square the number 13, which gives 169.
Step 11: Check if the squared number is a palindrome:

- 169 is not a palindrome.

Step 12: Therefore, the smallest non-palindromic number whose square is a palindrome is 13.

So, the answer is 13.

To find the smallest non-palindromic number whose square is a palindrome, we need to break down the problem into steps:

Step 1: Generate a list of non-palindromic numbers.
Step 2: Calculate the square of each number.
Step 3: Check if the square is a palindrome.
Step 4: Find the smallest non-palindromic number whose square is a palindrome.

Let's start with step 1:

Step 1: Generate a list of non-palindromic numbers.

We can start by considering the first few numbers and eliminating the palindromic ones. For example, the numbers 10, 11, 12, and so on are non-palindromic.

Now let's move on to step 2:

Step 2: Calculate the square of each number.

For each non-palindromic number we generated in step 1, calculate its square.

For example, if we take the number 10, the square is 10^2 = 100.

Next, let's proceed to step 3:

Step 3: Check if the square is a palindrome.

Check if the square obtained from step 2 is a palindrome. A palindrome is a number that reads the same forwards and backward.

For example, 100 is not a palindrome because it reads as "100," while 121 is a palindrome because it reads as "121."

Finally, let's move on to step 4:

Step 4: Find the smallest non-palindromic number whose square is a palindrome.

Continue this process of generating non-palindromic numbers, calculating their squares, and checking if the square is a palindrome until you find the smallest one that fulfills all criteria.

Note: To speed up the process, you can use a computer program or code to automate the generation of non-palindromic numbers, calculate their squares, and check for palindromes.

Remember to keep track of the numbers you generate and their squares to ensure that you find the smallest non-palindromic number whose square is a palindrome.