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Question
Show that Negative of an irrational number is irrational.
Solution
Let us assume that x is an irrational number such that - x is rational.
So, - x = `"a"/"b"` where a, b are integer and b ≠ 0
x = `"- a"/"b"`
Since, - a, b is also integer and b ≠ 0.
So x is a rational number it contradict our assumption.
∴ - x is irrational.
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