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Because the square root sign is only asking you how many times will a certain number multiplied by itself will be the same as the number being square rooted.

For instance the square root of 64 is 8 and 8*8 = 64

Likewise the square root of 1/64 is 1/8 and 1/8*1*8 = 1/64

In mathematics signs and symbols are only questions and answers in short hand.

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Q: Why is it that when an integer is square rooted its value decreases yet when a fraction is square rooted its value increases?
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