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Meg C
Meg C asked in Science & MathematicsMathematics · 1 decade ago

What is the only pair of consecutive integers whose square roots are also consecutive integers?

2 Answers

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  • Puzzling
    Lv 7
    1 decade ago
    Favorite Answer

    Consecutive integers:

    0 and 1

    Square roots:

    --> √0 = 0, √1 = 1

    which are also consecutive integers

  • Curt Monash
    Lv 7
    1 decade ago

    The smaller one is the solution to (x+1)^2 = x^2 + 1

    That tells you why there's only ONE such pair. :D

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