Prove by contradiction that √2 + √3 is irrational
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Step 1
This means that we can write √2 + √3 as a fraction in the form of a/b, where a and b are integers and b is not equal to 0. We can then manipulate this equation to get √2 = (a/b) - √3. Squaring both sides, we get 2 = (a^2/b^2) - 2(a/b)√3 + 3. Rearranging, Show more…
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