Prove that 2-√3 is irrational, given that √3 is irrational
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Answered by
1
Answer:
rational - irrational = irrational
Answered by
10
Given √3 is irrational number
Let 2 - √3 is rational number.
=> it should be in the form of p/q (fraction)
=> 2-√3 = p/q
= √3 = p/q + 2q/q
here √3 is irrational and p/q - 2q/q is an integer so it is a rational number.so it mean
irrational = rational
which contradict,
..our assumption is wrong and
2-√3 is irrational number.
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