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Maggie says, "The positive square root of a number is always less than the original number." Is this true?

1 Answer

Alan P. · Noah G

Feb 9, 2016

No

Explanation:

Counter example:
$XXXXXX \sqrt{\frac{1}{4}} = \frac{1}{2}$ $color(white)("XXXXXX")sqrt(1/4) = 1/2$

but $\frac{1}{2}$ $1/2$ is not less than the original number, $\frac{1}{4}$ $1/4$ .

However, since I like Maggie, I will concede that her statement is true for all numbers greater than $1$ $1$

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