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Q: Is there an algebraic way to write the square root of x is greater than x?

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Paris is not a numerical value of algebraic expression and so does not have a square root.

3 is greater than the square root of 8.

38 is greater than the square root of 38

8 is greater than the square root of 60

Yes, there are several. using the square root sign is the most common, but for some purposes using the power of half - i.e. x0.5 - is easier to think about.

It is greater than the negative square root of 8, but smaller than the positive square root of 8.

You can't, because it isn't. The square root of 2 is irrational, but that doesn't make it transcendental. The square root of any positive integer is ALGEBRAIC - and transcendental means "not algebraic".In this case, the square root of 2 is a root of the polynomial equation x squared - 2 = 0; therefore it is algebraic.

The square root of 6 is an irrational number. It is also an algebraic number, a quadratic surd, an algebraic integer, a constructible number, and a computable number.

The square root of 81 is 9

The square root of 144 is: ± 12

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It is greater because the square root of 65 is 8.06.

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