How to show that root 7 minus 2 is an irrational number?
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Let us assume that root 7 - 2 is rational.
=>root7 - 2=a/b
root 7= a/b -2
a/b and -2 are rational numbers but root 7 is irrational.
It is a contradiction
Therefore , our assumption that root 7 - 2 is rational is false.
Therefore, root 7 - 2 is irrational
Hence proved.
=>root7 - 2=a/b
root 7= a/b -2
a/b and -2 are rational numbers but root 7 is irrational.
It is a contradiction
Therefore , our assumption that root 7 - 2 is rational is false.
Therefore, root 7 - 2 is irrational
Hence proved.
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