You mean a proper fraction (less than 1). Multiply anything by less than 1 and you will make it smaller. Therefore the square root of your result is bigger than the start value. For numbers bigger than one it's the other way round.
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Yes.
1/2 x 1/2 = 1/4 the sq. root of 1/4 = 1/2 in decimals: 0.5 x 0.5 = 0.25 the sq. root of 0.25 = 0.5
23.452078799117147772828150567722The square root of the number 550 is a continued fraction, 23.45207879911714777282815056772233140294114176705868576802850.
The square root of -3 is an imaginary number and the square root of 3 is an irrational number that can't be expressed as a fraction
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