B
prove that a is irrational
2÷root 7
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Let us assume that 2 /root7 is rational number.
72/root7x root7/root7
2
×
7
7
=
7
2
7
is rational number .
which is only possible is
7
2
7
is rational and √7 is rational.
But the fact is
7
is an irrational.
which contradicts to our assumption.
$
7
2
is an irrational number. hence proved.
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