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Hemant Agarwal
Hemant Agarwal
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A three-digit perfect square number is such that if its digits are reversed, then the number obtained is also a perfect square. What is the number?

For example, if 450 were a perfect square then 045054 would also have been be a perfect square. Similarly, if 326 were a perfect square then 623 would also have been a perfect square.

I am looking for a non brute force approach.

Bonus: How many such numbers are there such that the number and its reverse are both perfect squares?

What's a general method to find such an n digit number, for a given n?

A three-digit perfect square number is such that if its digits are reversed, then the number obtained is also a perfect square. What is the number?

For example, if 450 were a perfect square then 045 would also have been be a perfect square. Similarly, if 326 were a perfect square then 623 would also have been a perfect square.

I am looking for a non brute force approach.

Bonus: How many such numbers are there such that the number and its reverse are both perfect squares?

What's a general method to find such an n digit number, for a given n?

A three-digit perfect square number is such that if its digits are reversed, then the number obtained is also a perfect square. What is the number?

For example, if 450 were a perfect square then 054 would also have been be a perfect square. Similarly, if 326 were a perfect square then 623 would also have been a perfect square.

I am looking for a non brute force approach.

Bonus: How many such numbers are there such that the number and its reverse are both perfect squares?

What's a general method to find such an n digit number, for a given n?

it's -> it is; its -> possessive
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bobble
bobble
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A 3 digit perfect square and it'sits reverse are both perfect squares. What is the number?

A three-digit perfect square number is such that if it'sits digits are reversed, then the number obtained is also a perfect square. What is the number?

For example, if 450 were a perfect square then 045 would also have been be a perfect square. Similarly, if 326 were a perfect square then 623 would also have been a perfect square.

I am looking for a non brute force approach.

Bonus: How many such numbers are there such that the number and it'sits reverse are both perfect squares?

What's a general method to find such an n digit number, for a given n?

A 3 digit perfect square and it's reverse are both perfect squares. What is the number?

A three-digit perfect square number is such that if it's digits are reversed, then the number obtained is also a perfect square. What is the number?

For example, if 450 were a perfect square then 045 would also have been be a perfect square. Similarly, if 326 were a perfect square then 623 would also have been a perfect square.

I am looking for a non brute force approach.

Bonus: How many such numbers are there such that the number and it's reverse are both perfect squares?

What's a general method to find such an n digit number, for a given n?

A 3 digit perfect square and its reverse are both perfect squares. What is the number?

A three-digit perfect square number is such that if its digits are reversed, then the number obtained is also a perfect square. What is the number?

For example, if 450 were a perfect square then 045 would also have been be a perfect square. Similarly, if 326 were a perfect square then 623 would also have been a perfect square.

I am looking for a non brute force approach.

Bonus: How many such numbers are there such that the number and its reverse are both perfect squares?

What's a general method to find such an n digit number, for a given n?

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Hemant Agarwal
Hemant Agarwal
  • 3.3k
  • 1
  • 15
  • 34

A 3 digit perfect square and it's reverse are both perfect squares. What is the number?

A three-digit perfect square number is such that if it's digits are reversed, then the number obtained is also a perfect square. What is the number?

For example, if 450 were a perfect square then 045 would also have been be a perfect square. Similarly, if 326 were a perfect square then 623 would also have been a perfect square.

I am looking for a non brute force approach.

Bonus: How many such numbers are there such that the number and it's reverse are both perfect squares?

What's a general method to find such an n digit number, for a given n?