Mathematics, 05.12.2020 09:00 angtrevv
Below is a proof showing that the sum of a rational number and an irrational number is an irrational number.
Let a be a rational number and b be an irrational number.
Assume that a + b = x and that x is rational.
Then b = x - a = x + (-a).
X + (-a) is rational because
However, it was stated that b is an irrational number. This is a contradiction.
Therefore, the assumption that x is rational in the equation a + b = x must be incorrect, and x should be an irrational
number.
In conclusion, the sum of a rational number and an irrational number is irrational.
Which of the following best completes the proof?
O it is the sum of two rational numbers.
O it is the sum of two irrational numbers.
it represents a non-terminating, non-repeating decimal.
its terms cannot be combined.
Answers: 3
Mathematics, 21.06.2019 14:30, ultimateapes
Use the radius you found in part i (r=26.8 cm) with the surface area formula below to find the surface area of the sphere. show your work and round your answer to the nearest tenth. the surface area of a sphere: sa = 4πr^2 self note: 3.8.4
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Mathematics, 21.06.2019 17:00, carkin9076
Parks is wearing several rubber bracelets one third of the bracelets are tie-dye 1/6 are blue and 1/3 of the remainder are camouflage if parks wears 2 camouflage bracelets how many bracelets does he have on
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Below is a proof showing that the sum of a rational number and an irrational number is an irrational...
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