Portal:Mathematics/From the forum

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Some interesting exchanges from the STF mailing forum.

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Square root of a number

The squre root of whole number is always less than the that square number ( ex; sqare root of 25 is 5, 36 is 6 etc) but in decimal it is reverse (ex; sqare root 0.8 is o.89) what is the reason?

Let us take ex : sq root of 0.16 is 0.4 but it is greater than 0.16 Square rooting 16/100 = 4/10. The value of denominator is larger than numerator.. when u square root it, (square root16) / (square root100) Thus making the denominator smaller at the same time..ex :  numerator: square root16 = 4; denominator: square root100 = 10