3 years ago

If x + y is rational, must x and y each be rational?

1 answer:

8 0

No.

If a rational number can be an integer, x and y could be 5.5 and .5, or something that adds up to (number).0. This means, if the two non-rational numbers add up, they could be irrational, but the result isn't.

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Simplify <img src="https://tex.z-dn.net/?f=%20%7B3%7D%5E%7B7y%7D%20%20%5Ctimes%20%20%7B81%7D%5E%7B8y%7D%20%5Ctimes%20%20%

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Answer

$3^{7y} * 81^{8y} * 3^9 * 27^{-9y} = 3^{7y} * (3^4)^{8y} * 3^9 *(3^3)^{-9y}$