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There is only one number of this type which is

7744=88^2 where a is 7 and b is 4

Q: How many perfect squares are of the form aabb?

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There is no pair of perfect squares that sums to 21. And the question is pointless if it is not about perfect squares because in that case there are infinitely many answers.There is no pair of perfect squares that sums to 21. And the question is pointless if it is not about perfect squares because in that case there are infinitely many answers.There is no pair of perfect squares that sums to 21. And the question is pointless if it is not about perfect squares because in that case there are infinitely many answers.There is no pair of perfect squares that sums to 21. And the question is pointless if it is not about perfect squares because in that case there are infinitely many answers.

There are no four-digit perfect squares that are palindromes.

there is an infinite number

There are 8: the squares of 2 to 9, inclusive.

101

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There is no pair of perfect squares that sums to 21. And the question is pointless if it is not about perfect squares because in that case there are infinitely many answers.There is no pair of perfect squares that sums to 21. And the question is pointless if it is not about perfect squares because in that case there are infinitely many answers.There is no pair of perfect squares that sums to 21. And the question is pointless if it is not about perfect squares because in that case there are infinitely many answers.There is no pair of perfect squares that sums to 21. And the question is pointless if it is not about perfect squares because in that case there are infinitely many answers.

683 perfect squares.

10 perfect squares

There are 8 perfect squares TTThe

There are no four-digit perfect squares that are palindromes.

Two. 36, and 49 are perfect squares.

sqrt(2000) = 44.7sqrt(20000) = 141.4So the perfect squares between 2000 and 20000 are the squares of 45 to 141 (inclusive)ie there are 97 perfect squares in the interval.

No. There are infinitely many perfect squares so there is no "the" perfect square.

900

there is an infinite number

Eight of them.

68 of them.