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26 February, 05:59

How many positive integers less that 50 have irrational square roots?

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  1. 26 February, 06:09
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    It is easier to calculate how many integers are perfect squares and then subtract that number from 50.

    1² = 1

    2² = 4

    3² = 9

    4² = 16

    5² = 25

    6² = 36

    7² = 49

    There are 7 numbers that have perfect squares, so there are 50 - 7 = 43 that have irrational square roots.

    Answer: 43
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