HELP ME ASAP Part D
Now examine the sum of a rational number, y, and an irrational number, x. The rational number y can be written as y=
where a and b are integers and b*0. Leave the irrational number xas x because it can't be written as the ratio of two
integers.
Let's look at a proof by contradiction. In other words, we're trying to show that x + y is equal to a rational number instead
of an irrational number. Let the sum equal", where mand n are integers and n#0. The process for rewriting the sum for
x is shown
Statement
Reason
substitution
Subtraction property of equality
*+---
=-
x = () ) - ()
Create common denominators
x=
Simply
Based on what we established about the classification of x and using the closure of integers, what does the equation tell
you about the type of number x must be for the sum to be rational?
What conclusion can you now make about the result
of adding a rational and an irrational number?
B / X X Font Sures. AAEEEN-
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