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Question
Is difference of two irrational numbers always an irrational number?
Is difference of two irrational numbers always an irrational number?
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Solution
x and y are irrational
check x−y is rational or irrational.
√2=x=y ie x and y are irrational
x-y=√2-√2=0
which is rational.
. so it is not necessarily that the difference of two irrational numbers are always an irrational number
check x−y is rational or irrational.
√2=x=y ie x and y are irrational
x-y=√2-√2=0
which is rational.
. so it is not necessarily that the difference of two irrational numbers are always an irrational number
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